{"id":"vidhyamitra:city-day:mathura:2018-04-29:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/mathura/2018-04-29","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2018-04-29","date_display":"April 29, 2018 CE","panchanga":{"method":"Sūrya Siddhānta + Bhāskara-II iterative manda + Kerala-school (Mādhava-Nīlakaṇṭha) evection + variation + annual equation","engine_version":"2.0 (Kerala-school enhanced)","accuracy_note":"Not independently benchmarked across the declared range","tradition_chain":"Āryabhaṭa(499) → Brahmagupta(628) → Bhāskara II(1150) → Mādhava(~1400) → Parameśvara(1430) → Nīlakaṇṭha(1501) → this","input":{"year":2018,"month":4,"day":29,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2458237.770833,"kali_year":5120,"ahargana":1869772.2708,"sun":{"sidereal_longitude":14.6137,"rashi":1,"rashi_name":"Meṣa"},"moon":{"sidereal_longitude":184.106,"rashi":7,"rashi_name":"Tulā"},"tithi":{"number":15,"name":"Pūrṇimā","paksha":"Śukla","full_name":"Śukla Pūrṇimā","elongation_degrees":169.4923,"elapsed_within_tithi_degrees":1.4923},"nakshatra":{"number":14,"name":"Citrā","pada":4,"moon_longitude":184.106,"elapsed_within_degrees":10.7726},"yoga":{"number":15,"name":"Vajra","sum_longitude":198.7196},"karana":{"half_tithi_index":28,"name":"Viṣṭi"},"vara":{"number":2,"name":"Ravivāra (Sunday)"}},"sky":{"method":"Sūrya-Siddhāntic Bhāskara-II 4-step iteration with atan2-based śīghra + varying peripheries + lunar latitude","engine_version":"3.0 (Pūrṇa — complete SS implementation)","tradition_sources":"Āryabhaṭīya 499 CE → SS Ch.1-5 Burgess 1860 → Siddhānta-Śiromaṇi Bhāskara II 1150 → Tantrasaṅgraha Nīlakaṇṭha 1501","input":{"year":2018,"month":4,"day":29,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2458237.770833,"ahargana":1869772.2708,"kali_year":5120,"ayanamsa_lahiri":24.109,"grahas":{"sun":{"sidereal_longitude":14.584496999999999,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":2,"name":"Bharaṇī","pada":1},"retrograde":false},"moon":{"sidereal_longitude":182.62249699999995,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":14,"name":"Citrā","pada":3},"retrograde":false,"latitude":4.3174},"mars":{"sidereal_longitude":268.159897,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":1},"retrograde":false},"mercury":{"sidereal_longitude":347.383697,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":27,"name":"Revatī","pada":1},"retrograde":false},"jupiter":{"sidereal_longitude":205.33399699999995,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":16,"name":"Viśākhā","pada":2},"retrograde":true},"venus":{"sidereal_longitude":40.931997000000024,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":4,"name":"Rohiṇī","pada":1},"retrograde":false},"saturn":{"sidereal_longitude":254.81449700000007,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":1},"retrograde":true},"rahu":{"sidereal_longitude":110.4671,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":9,"name":"Āśleṣā","pada":2},"retrograde":false},"ketu":{"sidereal_longitude":290.4671,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":22,"name":"Śravaṇa","pada":4},"retrograde":false}},"panchang":{"method":"Sūrya Siddhānta + Bhāskara-II iterative manda + Kerala-school (Mādhava-Nīlakaṇṭha) evection + variation + annual equation","engine_version":"2.0 (Kerala-school enhanced)","accuracy_note":"Not independently benchmarked across the declared range","tradition_chain":"Āryabhaṭa(499) → Brahmagupta(628) → Bhāskara II(1150) → Mādhava(~1400) → Parameśvara(1430) → Nīlakaṇṭha(1501) → this","input":{"year":2018,"month":4,"day":29,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2458237.770833,"kali_year":5120,"ahargana":1869772.2708,"sun":{"sidereal_longitude":14.6137,"rashi":1,"rashi_name":"Meṣa"},"moon":{"sidereal_longitude":184.106,"rashi":7,"rashi_name":"Tulā"},"tithi":{"number":15,"name":"Pūrṇimā","paksha":"Śukla","full_name":"Śukla Pūrṇimā","elongation_degrees":169.4923,"elapsed_within_tithi_degrees":1.4923},"nakshatra":{"number":14,"name":"Citrā","pada":4,"moon_longitude":184.106,"elapsed_within_degrees":10.7726},"yoga":{"number":15,"name":"Vajra","sum_longitude":198.7196},"karana":{"half_tithi_index":28,"name":"Viṣṭi"},"vara":{"number":2,"name":"Ravivāra (Sunday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":4.317,"elongation":169.492},"lunar":{"type":"lunar","occurs":false,"moon_latitude":4.317,"opposition_distance":10.508}},"eclipse_window_40days":[]},"city":{"slug":"mathura","name":"Mathurā","lat":27.4924,"lon":77.6737,"tz_offset_hours":5.5,"state":"Uttar Pradesh","country":"IN","tier":"tirtha"},"tier2":{"city":{"slug":"mathura","name":"Mathurā","lat":27.4924,"lon":77.6737,"tz_offset_hours":5.5,"state":"Uttar Pradesh","country":"IN","tier":"tirtha"},"sunriseLocal":"05:42","sunsetLocal":"18:51","solarNoonLocal":"12:17","dayLengthHours":13.154194609596736,"dayLengthDisplay":"13 Hours 09 Mins 15 Secs","nightLengthDisplay":"10 Hours 50 Mins 45 Secs","moonriseLocal":"17:48","moonsetLocal":"05:10","rahuKala":{"name":"Rāhu Kāla","start":"17:13","end":"18:51","startHours":17.210517250864257,"endHours":18.85479157706385,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"12:17","end":"13:55","startHours":12.277694272265482,"endHours":13.921968598465075,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"15:34","end":"17:13","startHours":15.566242924664667,"endHours":17.210517250864257,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:46","end":"09:13","startHours":8.769909043039686,"endHours":9.208382196692911,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:15","end":"06:36","startHours":6.248688409533645,"endHours":6.599466932456225,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:50","end":"12:43","startHours":11.839221118612256,"endHours":12.716167425918707,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"03:57","end":"04:49","startHours":3.9467043528542165,"endHours":4.8236506601606655,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"04:36","end":"05:42","startHours":4.604414083334053,"endHours":5.700596967467114,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:28","end":"15:21","startHours":14.470060040531607,"endHours":15.347006347838056,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"18:39","end":"19:03","startHours":18.65479157706385,"endHours":19.05479157706385,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"18:51","end":"19:24","startHours":18.85479157706385,"endHours":19.402883019130382,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"18:36","end":"20:21","startHours":18.60479157706385,"endHours":20.35479157706385,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:50","end":"00:43","startHours":23.839221118612258,"endHours":24.716167425918705,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Udveg","start":"05:42","end":"07:21","startHours":5.700596967467114,"endHours":7.344871293666706,"quality":"inauspicious"},{"name":"Chala","start":"07:21","end":"08:59","startHours":7.344871293666706,"endHours":8.9891456198663,"quality":"neutral"},{"name":"Labha","start":"08:59","end":"10:38","startHours":8.9891456198663,"endHours":10.63341994606589,"quality":"auspicious"},{"name":"Amṛta","start":"10:38","end":"12:17","startHours":10.63341994606589,"endHours":12.277694272265482,"quality":"auspicious"},{"name":"Kāla","start":"12:17","end":"13:55","startHours":12.277694272265482,"endHours":13.921968598465075,"quality":"inauspicious"},{"name":"Śubha","start":"13:55","end":"15:34","startHours":13.921968598465075,"endHours":15.566242924664667,"quality":"auspicious"},{"name":"Roga","start":"15:34","end":"17:13","startHours":15.566242924664667,"endHours":17.210517250864257,"quality":"inauspicious"},{"name":"Udveg","start":"17:13","end":"18:51","startHours":17.210517250864257,"endHours":18.85479157706385,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Śubha","start":"18:51","end":"20:13","startHours":18.85479157706385,"endHours":20.210517250864257,"quality":"auspicious"},{"name":"Roga","start":"20:13","end":"21:34","startHours":20.210517250864257,"endHours":21.566242924664664,"quality":"inauspicious"},{"name":"Udveg","start":"21:34","end":"22:55","startHours":21.566242924664664,"endHours":22.921968598465075,"quality":"inauspicious"},{"name":"Chala","start":"22:55","end":"00:17","startHours":22.921968598465075,"endHours":24.27769427226548,"quality":"neutral"},{"name":"Labha","start":"00:17","end":"01:38","startHours":24.27769427226548,"endHours":25.63341994606589,"quality":"auspicious"},{"name":"Amṛta","start":"01:38","end":"02:59","startHours":25.63341994606589,"endHours":26.9891456198663,"quality":"auspicious"},{"name":"Kāla","start":"02:59","end":"04:21","startHours":26.9891456198663,"endHours":28.344871293666706,"quality":"inauspicious"},{"name":"Śubha","start":"04:21","end":"05:42","startHours":28.344871293666706,"endHours":29.700596967467114,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"05:42","end":"06:42","startHours":5.700596967467114,"endHours":6.700596967467114,"planetary_lord":"Sun"},{"name":"Hora 2","start":"06:42","end":"07:42","startHours":6.700596967467114,"endHours":7.700596967467114,"planetary_lord":"Mars"},{"name":"Hora 3","start":"07:42","end":"08:42","startHours":7.700596967467114,"endHours":8.700596967467114,"planetary_lord":"Jupiter"},{"name":"Hora 4","start":"08:42","end":"09:42","startHours":8.700596967467114,"endHours":9.700596967467114,"planetary_lord":"Saturn"},{"name":"Hora 5","start":"09:42","end":"10:42","startHours":9.700596967467114,"endHours":10.700596967467114,"planetary_lord":"Moon"},{"name":"Hora 6","start":"10:42","end":"11:42","startHours":10.700596967467114,"endHours":11.700596967467114,"planetary_lord":"Mercury"},{"name":"Hora 7","start":"11:42","end":"12:42","startHours":11.700596967467114,"endHours":12.700596967467114,"planetary_lord":"Venus"},{"name":"Hora 8","start":"12:42","end":"13:42","startHours":12.700596967467114,"endHours":13.700596967467114,"planetary_lord":"Sun"},{"name":"Hora 9","start":"13:42","end":"14:42","startHours":13.700596967467114,"endHours":14.700596967467114,"planetary_lord":"Mars"},{"name":"Hora 10","start":"14:42","end":"15:42","startHours":14.700596967467114,"endHours":15.700596967467114,"planetary_lord":"Jupiter"},{"name":"Hora 11","start":"15:42","end":"16:42","startHours":15.700596967467114,"endHours":16.700596967467114,"planetary_lord":"Saturn"},{"name":"Hora 12","start":"16:42","end":"17:42","startHours":16.700596967467114,"endHours":17.700596967467114,"planetary_lord":"Moon"},{"name":"Hora 13","start":"17:42","end":"18:42","startHours":17.700596967467114,"endHours":18.700596967467114,"planetary_lord":"Mercury"},{"name":"Hora 14","start":"18:42","end":"19:42","startHours":18.700596967467114,"endHours":19.700596967467114,"planetary_lord":"Venus"},{"name":"Hora 15","start":"19:42","end":"20:42","startHours":19.700596967467114,"endHours":20.700596967467114,"planetary_lord":"Sun"},{"name":"Hora 16","start":"20:42","end":"21:42","startHours":20.700596967467114,"endHours":21.700596967467114,"planetary_lord":"Mars"},{"name":"Hora 17","start":"21:42","end":"22:42","startHours":21.700596967467114,"endHours":22.700596967467114,"planetary_lord":"Jupiter"},{"name":"Hora 18","start":"22:42","end":"23:42","startHours":22.700596967467114,"endHours":23.700596967467114,"planetary_lord":"Saturn"},{"name":"Hora 19","start":"23:42","end":"00:42","startHours":23.700596967467114,"endHours":24.700596967467114,"planetary_lord":"Moon"},{"name":"Hora 20","start":"00:42","end":"01:42","startHours":24.700596967467114,"endHours":25.700596967467114,"planetary_lord":"Mercury"},{"name":"Hora 21","start":"01:42","end":"02:42","startHours":25.700596967467114,"endHours":26.700596967467114,"planetary_lord":"Venus"},{"name":"Hora 22","start":"02:42","end":"03:42","startHours":26.700596967467114,"endHours":27.700596967467114,"planetary_lord":"Sun"},{"name":"Hora 23","start":"03:42","end":"04:42","startHours":27.700596967467114,"endHours":28.700596967467114,"planetary_lord":"Mars"},{"name":"Hora 24","start":"04:42","end":"05:42","startHours":28.700596967467114,"endHours":29.700596967467114,"planetary_lord":"Jupiter"}],"taraBala":{"favorable_nakshatras":["Aśvinī","Ārdrā","Punarvasu","Puṣya","Aśleṣā","Maghā","Svātī","Viśākhā","Anurādhā","Jyeṣṭhā","Mūla","Śatabhiṣaj","Pūrva Bhādrapadā","Uttara Bhādrapadā","Revatī"],"unfavorable_nakshatras":["Bharaṇī","Kṛttikā","Rohiṇī","Mṛgaśirā","Pūrva Phalgunī","Uttara Phalgunī","Hasta","Citrā","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Śravaṇa","Dhaniṣṭhā"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Meṣa","Karka","Siṃha","Tulā","Dhanu","Mīna"],"unfavorable_rashis":["Vṛṣabha","Mithuna","Kanyā","Vṛścika","Makara","Kumbha"]},"dishaShool":"West (Paścim)","chandraVasa":"North","rahuVasa":"North-East","anandadiYoga":{"name":"Padma","quality":"Auspicious"},"tropicalRitu":"Vasanta (Spring) (tropical)","vedicRitu":"Vasanta (Spring)","tropicalAyana":"Uttarāyaṇa","vedicAyana":"Uttarāyaṇa","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":14.3972896568025,"eotMinutes":2.643543664071059,"ayanamsa":24.109}},"calendars":{"vikram_samvat":2075,"vikram_samvatsara":"Virodhakṛt","saka_samvat":1940,"saka_samvatsara":"Vilambī","bengali_samvat":1425,"malayalam_era":1194,"nanakshahi_year":549,"lunar_month":"Vaiśākha","lunar_month_paksha_full":"Vaiśākha Śukla Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Vaiśākha","lunar_month_amanta":"Vaiśākha","lunar_month_is_adhika":false,"lunar_month_purnimanta_is_adhika":false,"lunar_month_amanta_is_adhika":false,"solar_month":"Mēsha (Cittirai / Vaiśākhī)","ritu":"Vasanta (Spring)","display_summary":"Vaiśākha Śukla Pūrṇimā · Vikram 2075 Virodhakṛt · Śaka 1940 Vilambī"},"festivals":[{"id":"buddha-purnima","name":"Buddha Pūrṇimā","name_sanskrit":"बुद्ध पूर्णिमा","name_alternates":["Vesak","Vaiśākhī Pūrṇimā","Vesakha"],"tradition":"Pan-Hindu","associated_deity":"Buddha (21st avatāra of Krishna per Bhāgavata 1.3.24)","deity_avatara_index":21,"significance":"Buddha's birth, enlightenment, and mahāparinirvāṇa all on this Vaiśākha Pūrṇimā. Most sacred Buddhist + Vaishnava day.","vrata":true,"primary_observance":"Day-long observance of compassion (karuṇā) and ahiṁsā; Buddha-stuti at sunset","detection":{"tithi_number":15,"tithi_paksha":"Śukla","lunar_month":"Vaiśākha"},"precedence":1,"related_chart":"buddha","sources":["Bhāgavata Purāṇa 1.3.24","Pāli Tipiṭaka","Buddhacarita by Aśvaghoṣa"]},{"id":"kurma-jayanti","name":"Kūrma Jayantī","name_sanskrit":"कूर्म जयन्ती","tradition":"Vaishnava","associated_deity":"Kūrma (2nd avatāra of Krishna)","deity_avatara_index":11,"significance":"Kūrma supports Mount Mandara during the Sāgara-mathana (churning of the cosmic ocean).","vrata":false,"detection":{"tithi_number":15,"tithi_paksha":"Śukla","lunar_month":"Vaiśākha"},"precedence":4,"sources":["Bhāgavata 8.7-8"]},{"id":"chandika-jayanti","name":"Chaṇḍikā Jayantī","name_sanskrit":"चण्डिका जयन्ती","tradition":"Shakta","associated_deity":"Devī Chaṇḍikā","significance":"Devī's fierce protective form. Often coincides with Buddha Pūrṇimā.","vrata":false,"detection":{"tithi_number":15,"tithi_paksha":"Śukla","lunar_month":"Vaiśākha"},"precedence":5},{"id":"chitra-paurnami","name":"Citrā Paurṇamī","name_sanskrit":"चित्रा पौर्णमी","tradition":"Regional","significance":"Tamil regional Vaiśākha Pūrṇimā observance; honors Citragupta.","vrata":false,"detection":{"tithi_number":15,"tithi_paksha":"Śukla","lunar_month":"Vaiśākha"},"precedence":6},{"id":"vaishakha-purnima-vrat","name":"Vaiśākha Pūrṇimā Vrat","name_sanskrit":"वैशाख पूर्णिमा व्रत","tradition":"Pan-Hindu","significance":"General Pūrṇimā vrat in Vaiśākha (highly auspicious month).","vrata":true,"detection":{"tithi_number":15,"tithi_paksha":"Śukla","lunar_month":"Vaiśākha"},"precedence":7}],"todays_walk":{"walk":{"id":"buddha-purnima-walk","name":"Buddha Pūrṇimā Walk","name_sanskrit":"बुद्ध पूर्णिमा यात्रा","type":"festival","description":"Bhāgavata 1.3.24 (Buddha as 21st avatāra) + BG 12.13 (compassion) + Dhammapada parallels.","step_count":7,"url":"/walk/buddha-purnima-walk"},"reason":"Today is Buddha Pūrṇimā — its dedicated walk."},"cosmic_resonances":[]},"validity":{"eternal":false,"location_specific":"mathura"},"liturgical":{"opening":"जय श्री कृष्ण","closing":"ॐ तत् सत्","attribution":"Computed by Vidhyamitra Sūrya-Siddhānta substrate + Vidhyamitra Tier-2 layer"},"seo":{"title":"Pañchāṅga April 29, 2018 CE · Mathurā · Vidhyamitra","description":"April 29, 2018 CE for Mathurā: Śukla Pūrṇimā, sūryodaya 05:42, sūryāsta 18:51.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/mathura/2018-04-29","hreflang_alternates":{"en":"https://vidhyamitra.com/city/mathura/2018-04-29","sa":"https://sa.vidhyamitra.com/city/mathura/2018-04-29","hi":"https://hi.vidhyamitra.com/city/mathura/2018-04-29","x-default":"https://vidhyamitra.com/city/mathura/2018-04-29"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-09-11T14:35:19.625Z","verification":{"type":"multi-marker","confidence":"canonical"}},{"pillar":"Vidhyamitra-Tier2","pillar_version":"0.1.0","method":"Spherical astronomy + Lahiri ayanamsa + standard solar declination + EoT correction","retrieved_at":"2026-09-11T14:35:19.625Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-09-11T14:35:19.625Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"},"reader_local_antaryami":{"reader_geography":"Every reader enters from their own kṣetra anywhere on Bhūmi; no single city is the universal center.","purna_chain":["Hosted scripture","Named-tradition interpretation","Original Vidhyamitra contemplation","Bhūmi-born material medium","Vidhyamitra portal","Responsible reader in their own kṣetra"],"claim_boundary":"The legacy purna_chain field carries a source-to-reader sequence, not a revealed physical descent, universal cosmology, or proof that software is conscious.","antaryami_responsibility_formula":"Kṣīrodakaśāyī Viṣṇu = Paramātmā = Antaryāmī. Jīva desires. Prakṛti executes through guṇas. Paramātmā witnesses, permits, remembers, guides, and sustains. Bhagavān is the ultimate source.","source_anchors":[{"label":"BG 13.23","path":"/bhagavad-gita/13/23","meaning":"upadraṣṭā-anumantā · witness-permitter"},{"label":"BG 15.15","path":"/bhagavad-gita/15/15","meaning":"the Lord seated in every heart as memory, knowledge, and forgetting"},{"label":"BG 18.61","path":"/bhagavad-gita/18/61","meaning":"Īśvara seated in the heart of all beings"}],"nama_seal":"Hare Krishna Hare Krishna · Krishna Krishna Hare Hare · Hare Rama Hare Rama · Rama Rama Hare Hare"}}}