{"id":"vidhyamitra:city-day:mathura:2029-01-05:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/mathura/2029-01-05","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2029-01-05","date_display":"January 5, 2029 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":2029,"month":1,"day":5,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2462141.770833,"kali_year":5130,"ahargana":1873676.2708,"sun":{"sidereal_longitude":260.449,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":135.5859,"rashi":5,"rashi_name":"Siṃha"},"tithi":{"number":20,"name":"Pañcamī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Pañcamī","elongation_degrees":235.1369,"elapsed_within_tithi_degrees":7.1369},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","pada":1,"moon_longitude":135.5859,"elapsed_within_degrees":2.2526},"yoga":{"number":3,"name":"Āyuṣmān","sum_longitude":36.0348},"karana":{"half_tithi_index":39,"name":"Taitila"},"vara":{"number":0,"name":"Śukravāra (Friday)"}},"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":2029,"month":1,"day":5,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2462141.770833,"ahargana":1873676.2708,"kali_year":5130,"ayanamsa_lahiri":24.2583,"grahas":{"sun":{"sidereal_longitude":260.71543599999995,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":3},"retrograde":false},"moon":{"sidereal_longitude":137.384836,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","pada":2},"retrograde":false,"latitude":-3.5433},"mars":{"sidereal_longitude":161.03373599999998,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":13,"name":"Hasta","pada":1},"retrograde":false},"mercury":{"sidereal_longitude":278.57553600000006,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":4},"retrograde":false},"jupiter":{"sidereal_longitude":181.095736,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":14,"name":"Citrā","pada":3},"retrograde":false},"venus":{"sidereal_longitude":241.48753599999998,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":1},"retrograde":false},"saturn":{"sidereal_longitude":10.126735999999994,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":1,"name":"Aśvinī","pada":4},"retrograde":false},"rahu":{"sidereal_longitude":263.6144,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":4},"retrograde":false},"ketu":{"sidereal_longitude":83.6144,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":7,"name":"Punarvasu","pada":2},"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":2029,"month":1,"day":5,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2462141.770833,"kali_year":5130,"ahargana":1873676.2708,"sun":{"sidereal_longitude":260.449,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":135.5859,"rashi":5,"rashi_name":"Siṃha"},"tithi":{"number":20,"name":"Pañcamī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Pañcamī","elongation_degrees":235.1369,"elapsed_within_tithi_degrees":7.1369},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","pada":1,"moon_longitude":135.5859,"elapsed_within_degrees":2.2526},"yoga":{"number":3,"name":"Āyuṣmān","sum_longitude":36.0348},"karana":{"half_tithi_index":39,"name":"Taitila"},"vara":{"number":0,"name":"Śukravāra (Friday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-3.543,"elongation":124.863},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-3.543,"opposition_distance":55.137}},"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":"07:11","sunsetLocal":"17:39","solarNoonLocal":"12:25","dayLengthHours":10.470903312722953,"dayLengthDisplay":"10 Hours 28 Mins 15 Secs","nightLengthDisplay":"13 Hours 31 Mins 45 Secs","moonriseLocal":"21:54","moonsetLocal":"10:29","rahuKala":{"name":"Rāhu Kāla","start":"11:06","end":"12:25","startHours":11.103769929645683,"endHours":12.412632843736052,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"15:02","end":"16:20","startHours":15.03035867191679,"endHours":16.33922158600716,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"08:29","end":"09:48","startHours":8.486044101464945,"endHours":9.794907015555314,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:37","end":"09:58","startHours":9.620391960343264,"endHours":9.969422070767363,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"07:37","end":"07:54","startHours":7.6134688254046985,"endHours":7.892692913743978,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"12:04","end":"12:46","startHours":12.063602733311953,"endHours":12.761662954160151,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"05:47","end":"06:29","startHours":5.7810607456781815,"endHours":6.479120966526379,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"06:18","end":"07:11","startHours":6.304605911314329,"endHours":7.177181187374575,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:09","end":"14:51","startHours":14.157783395856544,"endHours":14.85584361670474,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:27","end":"17:51","startHours":17.44808450009753,"endHours":17.848084500097528,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:39","end":"18:05","startHours":17.64808450009753,"endHours":18.08437213812765,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:24","end":"19:09","startHours":17.39808450009753,"endHours":19.14808450009753,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"00:04","end":"00:46","startHours":24.063602733311953,"endHours":24.76166295416015,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Chala","start":"07:11","end":"08:29","startHours":7.177181187374575,"endHours":8.486044101464945,"quality":"neutral"},{"name":"Labha","start":"08:29","end":"09:48","startHours":8.486044101464945,"endHours":9.794907015555314,"quality":"auspicious"},{"name":"Amṛta","start":"09:48","end":"11:06","startHours":9.794907015555314,"endHours":11.103769929645683,"quality":"auspicious"},{"name":"Kāla","start":"11:06","end":"12:25","startHours":11.103769929645683,"endHours":12.412632843736052,"quality":"inauspicious"},{"name":"Śubha","start":"12:25","end":"13:43","startHours":12.412632843736052,"endHours":13.721495757826421,"quality":"auspicious"},{"name":"Roga","start":"13:43","end":"15:02","startHours":13.721495757826421,"endHours":15.03035867191679,"quality":"inauspicious"},{"name":"Udveg","start":"15:02","end":"16:20","startHours":15.03035867191679,"endHours":16.33922158600716,"quality":"inauspicious"},{"name":"Chala","start":"16:20","end":"17:39","startHours":16.33922158600716,"endHours":17.64808450009753,"quality":"neutral"}],"nightChoghadiyas":[{"name":"Roga","start":"17:39","end":"19:20","startHours":17.64808450009753,"endHours":19.33922158600716,"quality":"inauspicious"},{"name":"Udveg","start":"19:20","end":"21:02","startHours":19.33922158600716,"endHours":21.03035867191679,"quality":"inauspicious"},{"name":"Chala","start":"21:02","end":"22:43","startHours":21.03035867191679,"endHours":22.72149575782642,"quality":"neutral"},{"name":"Labha","start":"22:43","end":"00:25","startHours":22.72149575782642,"endHours":24.412632843736052,"quality":"auspicious"},{"name":"Amṛta","start":"00:25","end":"02:06","startHours":24.412632843736052,"endHours":26.103769929645683,"quality":"auspicious"},{"name":"Kāla","start":"02:06","end":"03:48","startHours":26.103769929645683,"endHours":27.794907015555314,"quality":"inauspicious"},{"name":"Śubha","start":"03:48","end":"05:29","startHours":27.794907015555314,"endHours":29.486044101464945,"quality":"auspicious"},{"name":"Roga","start":"05:29","end":"07:11","startHours":29.486044101464945,"endHours":31.177181187374575,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"07:11","end":"08:11","startHours":7.177181187374575,"endHours":8.177181187374575,"planetary_lord":"Venus"},{"name":"Hora 2","start":"08:11","end":"09:11","startHours":8.177181187374575,"endHours":9.177181187374575,"planetary_lord":"Sun"},{"name":"Hora 3","start":"09:11","end":"10:11","startHours":9.177181187374575,"endHours":10.177181187374575,"planetary_lord":"Mars"},{"name":"Hora 4","start":"10:11","end":"11:11","startHours":10.177181187374575,"endHours":11.177181187374575,"planetary_lord":"Jupiter"},{"name":"Hora 5","start":"11:11","end":"12:11","startHours":11.177181187374575,"endHours":12.177181187374575,"planetary_lord":"Saturn"},{"name":"Hora 6","start":"12:11","end":"13:11","startHours":12.177181187374575,"endHours":13.177181187374575,"planetary_lord":"Moon"},{"name":"Hora 7","start":"13:11","end":"14:11","startHours":13.177181187374575,"endHours":14.177181187374575,"planetary_lord":"Mercury"},{"name":"Hora 8","start":"14:11","end":"15:11","startHours":14.177181187374575,"endHours":15.177181187374575,"planetary_lord":"Venus"},{"name":"Hora 9","start":"15:11","end":"16:11","startHours":15.177181187374575,"endHours":16.177181187374575,"planetary_lord":"Sun"},{"name":"Hora 10","start":"16:11","end":"17:11","startHours":16.177181187374575,"endHours":17.177181187374575,"planetary_lord":"Mars"},{"name":"Hora 11","start":"17:11","end":"18:11","startHours":17.177181187374575,"endHours":18.177181187374575,"planetary_lord":"Jupiter"},{"name":"Hora 12","start":"18:11","end":"19:11","startHours":18.177181187374575,"endHours":19.177181187374575,"planetary_lord":"Saturn"},{"name":"Hora 13","start":"19:11","end":"20:11","startHours":19.177181187374575,"endHours":20.177181187374575,"planetary_lord":"Moon"},{"name":"Hora 14","start":"20:11","end":"21:11","startHours":20.177181187374575,"endHours":21.177181187374575,"planetary_lord":"Mercury"},{"name":"Hora 15","start":"21:11","end":"22:11","startHours":21.177181187374575,"endHours":22.177181187374575,"planetary_lord":"Venus"},{"name":"Hora 16","start":"22:11","end":"23:11","startHours":22.177181187374575,"endHours":23.177181187374575,"planetary_lord":"Sun"},{"name":"Hora 17","start":"23:11","end":"00:11","startHours":23.177181187374575,"endHours":24.177181187374575,"planetary_lord":"Mars"},{"name":"Hora 18","start":"00:11","end":"01:11","startHours":24.177181187374575,"endHours":25.177181187374575,"planetary_lord":"Jupiter"},{"name":"Hora 19","start":"01:11","end":"02:11","startHours":25.177181187374575,"endHours":26.177181187374575,"planetary_lord":"Saturn"},{"name":"Hora 20","start":"02:11","end":"03:11","startHours":26.177181187374575,"endHours":27.177181187374575,"planetary_lord":"Moon"},{"name":"Hora 21","start":"03:11","end":"04:11","startHours":27.177181187374575,"endHours":28.177181187374575,"planetary_lord":"Mercury"},{"name":"Hora 22","start":"04:11","end":"05:11","startHours":28.177181187374575,"endHours":29.177181187374575,"planetary_lord":"Venus"},{"name":"Hora 23","start":"05:11","end":"06:11","startHours":29.177181187374575,"endHours":30.177181187374575,"planetary_lord":"Sun"},{"name":"Hora 24","start":"06:11","end":"07:11","startHours":30.177181187374575,"endHours":31.177181187374575,"planetary_lord":"Mars"}],"taraBala":{"favorable_nakshatras":["Kṛttikā","Rohiṇī","Mṛgaśirā","Ārdrā","Punarvasu","Uttara Phalgunī","Hasta","Citrā","Svātī","Viśākhā","Uttara Āṣāḍhā","Śravaṇa","Dhaniṣṭhā","Śatabhiṣaj","Pūrva Bhādrapadā"],"unfavorable_nakshatras":["Aśvinī","Bharaṇī","Puṣya","Aśleṣā","Maghā","Pūrva Phalgunī","Anurādhā","Jyeṣṭhā","Mūla","Pūrva Āṣāḍhā","Uttara Bhādrapadā","Revatī"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Vṛṣabha","Mithuna","Siṃha","Tulā","Makara","Kumbha"],"unfavorable_rashis":["Meṣa","Karka","Kanyā","Vṛścika","Dhanu","Mīna"]},"dishaShool":"West (Paścim)","chandraVasa":"West","rahuVasa":"South-East","anandadiYoga":{"name":"Dhūmra","quality":"Inauspicious"},"tropicalRitu":"Hemanta (Pre-winter) (tropical)","vedicRitu":"Hemanta (Pre-winter)","tropicalAyana":"Uttarāyaṇa","vedicAyana":"Dakṣiṇāyana","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":-22.59577246956984,"eotMinutes":-5.452770624163118,"ayanamsa":24.2583}},"calendars":{"vikram_samvat":2086,"vikram_samvatsara":"Dundubhi","saka_samvat":1951,"saka_samvatsara":"Saumya","bengali_samvat":1436,"malayalam_era":1205,"nanakshahi_year":560,"lunar_month":"Pauṣa","lunar_month_paksha_full":"Pauṣa Kṛṣṇa Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Pauṣa","lunar_month_amanta":"Mārgaśīrṣa","lunar_month_is_adhika":false,"lunar_month_purnimanta_is_adhika":false,"lunar_month_amanta_is_adhika":false,"solar_month":"Dhanus (Mārgaḻi)","ritu":"Hemanta (Pre-winter)","display_summary":"Pauṣa Kṛṣṇa Pañcamī · Vikram 2086 Dundubhi · Śaka 1951 Saumya"},"festivals":[],"todays_walk":{"walk":{"id":"shukra-walk","name":"Śukra Walk","name_sanskrit":"शुक्र यात्रा","type":"graha","description":"Beauty + creativity in dharma + BG 10.36.","step_count":5,"url":"/walk/shukra-walk"},"reason":"Śukravāra (Friday) — its presiding graha's 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 January 5, 2029 CE · Mathurā · Vidhyamitra","description":"January 5, 2029 CE for Mathurā: Kṛṣṇa Pañcamī, sūryodaya 07:11, sūryāsta 17:39.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/mathura/2029-01-05","hreflang_alternates":{"en":"https://vidhyamitra.com/city/mathura/2029-01-05","sa":"https://sa.vidhyamitra.com/city/mathura/2029-01-05","hi":"https://hi.vidhyamitra.com/city/mathura/2029-01-05","x-default":"https://vidhyamitra.com/city/mathura/2029-01-05"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-09-11T17:58:34.706Z","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":"2026-09-11T17:58:34.706Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-09-11T17:58:34.706Z","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"}}}