{"id":"vidhyamitra:city-day:mathura:2013-08-18:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/mathura/2013-08-18","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2013-08-18","date_display":"August 18, 2013 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":2013,"month":8,"day":18,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2456522.770833,"kali_year":5115,"ahargana":1868057.2708,"sun":{"sidereal_longitude":120.5715,"rashi":5,"rashi_name":"Siṃha"},"moon":{"sidereal_longitude":260.9904,"rashi":9,"rashi_name":"Dhanu"},"tithi":{"number":12,"name":"Dvādaśī","paksha":"Śukla","full_name":"Śukla Dvādaśī","elongation_degrees":140.4189,"elapsed_within_tithi_degrees":8.4189},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":3,"moon_longitude":260.9904,"elapsed_within_degrees":7.6571},"yoga":{"number":2,"name":"Prīti","sum_longitude":21.562},"karana":{"half_tithi_index":23,"name":"Bālava"},"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":2013,"month":8,"day":18,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2456522.770833,"ahargana":1868057.2708,"kali_year":5115,"ayanamsa_lahiri":24.0434,"grahas":{"sun":{"sidereal_longitude":121.232123,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":10,"name":"Maghā","pada":1},"retrograde":false},"moon":{"sidereal_longitude":259.184523,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":2},"retrograde":false,"latitude":3.8824},"mars":{"sidereal_longitude":89.31542300000001,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":7,"name":"Punarvasu","pada":3},"retrograde":false},"mercury":{"sidereal_longitude":113.919623,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":9,"name":"Aśleṣā","pada":3},"retrograde":false},"jupiter":{"sidereal_longitude":76.85972300000003,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":6,"name":"Ārdrā","pada":4},"retrograde":false},"venus":{"sidereal_longitude":157.41992300000004,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":12,"name":"Uttara Phalgunī","pada":4},"retrograde":false},"saturn":{"sidereal_longitude":191.84572300000002,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":15,"name":"Svātī","pada":2},"retrograde":false},"rahu":{"sidereal_longitude":201.3361,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":16,"name":"Viśākhā","pada":1},"retrograde":false},"ketu":{"sidereal_longitude":21.3361,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":2,"name":"Bharaṇī","pada":3},"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":2013,"month":8,"day":18,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2456522.770833,"kali_year":5115,"ahargana":1868057.2708,"sun":{"sidereal_longitude":120.5715,"rashi":5,"rashi_name":"Siṃha"},"moon":{"sidereal_longitude":260.9904,"rashi":9,"rashi_name":"Dhanu"},"tithi":{"number":12,"name":"Dvādaśī","paksha":"Śukla","full_name":"Śukla Dvādaśī","elongation_degrees":140.4189,"elapsed_within_tithi_degrees":8.4189},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":3,"moon_longitude":260.9904,"elapsed_within_degrees":7.6571},"yoga":{"number":2,"name":"Prīti","sum_longitude":21.562},"karana":{"half_tithi_index":23,"name":"Bālava"},"vara":{"number":2,"name":"Ravivāra (Sunday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":3.882,"elongation":140.419},"lunar":{"type":"lunar","occurs":false,"moon_latitude":3.882,"opposition_distance":39.581}},"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":"05:51","sunsetLocal":"18:55","solarNoonLocal":"12:23","dayLengthHours":13.05665963834197,"dayLengthDisplay":"13 Hours 03 Mins 24 Secs","nightLengthDisplay":"10 Hours 56 Mins 36 Secs","moonriseLocal":"16:22","moonsetLocal":"02:47","rahuKala":{"name":"Rāhu Kāla","start":"17:17","end":"18:55","startHours":17.276801659726743,"endHours":18.90888411451949,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"12:23","end":"14:01","startHours":12.380554295348507,"endHours":14.012636750141251,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"15:39","end":"17:17","startHours":15.644719204933999,"endHours":17.276801659726743,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:54","end":"09:20","startHours":8.898778391790646,"endHours":9.334000379735379,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:24","end":"06:45","startHours":6.396251961108437,"endHours":6.744429551464223,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:57","end":"12:49","startHours":11.945332307403774,"endHours":12.81577628329324,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"04:07","end":"04:59","startHours":4.111336524398592,"endHours":4.981780500288057,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"04:46","end":"05:51","startHours":4.764169506315691,"endHours":5.852224476177521,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:33","end":"15:26","startHours":14.55666423507217,"endHours":15.427108210961634,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"18:43","end":"19:07","startHours":18.708884114519492,"endHours":19.10888411451949,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"18:55","end":"19:27","startHours":18.90888411451949,"endHours":19.452911599450406,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"18:40","end":"20:25","startHours":18.65888411451949,"endHours":20.40888411451949,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:57","end":"00:49","startHours":23.945332307403774,"endHours":24.81577628329324,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Udveg","start":"05:51","end":"07:29","startHours":5.852224476177521,"endHours":7.484306930970267,"quality":"inauspicious"},{"name":"Chala","start":"07:29","end":"09:07","startHours":7.484306930970267,"endHours":9.116389385763014,"quality":"neutral"},{"name":"Labha","start":"09:07","end":"10:45","startHours":9.116389385763014,"endHours":10.748471840555759,"quality":"auspicious"},{"name":"Amṛta","start":"10:45","end":"12:23","startHours":10.748471840555759,"endHours":12.380554295348507,"quality":"auspicious"},{"name":"Kāla","start":"12:23","end":"14:01","startHours":12.380554295348507,"endHours":14.012636750141251,"quality":"inauspicious"},{"name":"Śubha","start":"14:01","end":"15:39","startHours":14.012636750141251,"endHours":15.644719204933999,"quality":"auspicious"},{"name":"Roga","start":"15:39","end":"17:17","startHours":15.644719204933999,"endHours":17.276801659726743,"quality":"inauspicious"},{"name":"Udveg","start":"17:17","end":"18:55","startHours":17.276801659726743,"endHours":18.90888411451949,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Śubha","start":"18:55","end":"20:17","startHours":18.90888411451949,"endHours":20.276801659726743,"quality":"auspicious"},{"name":"Roga","start":"20:17","end":"21:39","startHours":20.276801659726743,"endHours":21.644719204934,"quality":"inauspicious"},{"name":"Udveg","start":"21:39","end":"23:01","startHours":21.644719204934,"endHours":23.012636750141255,"quality":"inauspicious"},{"name":"Chala","start":"23:01","end":"00:23","startHours":23.012636750141255,"endHours":24.380554295348507,"quality":"neutral"},{"name":"Labha","start":"00:23","end":"01:45","startHours":24.380554295348507,"endHours":25.74847184055576,"quality":"auspicious"},{"name":"Amṛta","start":"01:45","end":"03:07","startHours":25.74847184055576,"endHours":27.116389385763014,"quality":"auspicious"},{"name":"Kāla","start":"03:07","end":"04:29","startHours":27.116389385763014,"endHours":28.48430693097027,"quality":"inauspicious"},{"name":"Śubha","start":"04:29","end":"05:51","startHours":28.48430693097027,"endHours":29.852224476177522,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"05:51","end":"06:51","startHours":5.852224476177521,"endHours":6.852224476177521,"planetary_lord":"Sun"},{"name":"Hora 2","start":"06:51","end":"07:51","startHours":6.852224476177521,"endHours":7.852224476177521,"planetary_lord":"Mars"},{"name":"Hora 3","start":"07:51","end":"08:51","startHours":7.852224476177521,"endHours":8.852224476177522,"planetary_lord":"Jupiter"},{"name":"Hora 4","start":"08:51","end":"09:51","startHours":8.852224476177522,"endHours":9.852224476177522,"planetary_lord":"Saturn"},{"name":"Hora 5","start":"09:51","end":"10:51","startHours":9.852224476177522,"endHours":10.852224476177522,"planetary_lord":"Moon"},{"name":"Hora 6","start":"10:51","end":"11:51","startHours":10.852224476177522,"endHours":11.852224476177522,"planetary_lord":"Mercury"},{"name":"Hora 7","start":"11:51","end":"12:51","startHours":11.852224476177522,"endHours":12.852224476177522,"planetary_lord":"Venus"},{"name":"Hora 8","start":"12:51","end":"13:51","startHours":12.852224476177522,"endHours":13.852224476177522,"planetary_lord":"Sun"},{"name":"Hora 9","start":"13:51","end":"14:51","startHours":13.852224476177522,"endHours":14.852224476177522,"planetary_lord":"Mars"},{"name":"Hora 10","start":"14:51","end":"15:51","startHours":14.852224476177522,"endHours":15.852224476177522,"planetary_lord":"Jupiter"},{"name":"Hora 11","start":"15:51","end":"16:51","startHours":15.852224476177522,"endHours":16.852224476177522,"planetary_lord":"Saturn"},{"name":"Hora 12","start":"16:51","end":"17:51","startHours":16.852224476177522,"endHours":17.852224476177522,"planetary_lord":"Moon"},{"name":"Hora 13","start":"17:51","end":"18:51","startHours":17.852224476177522,"endHours":18.852224476177522,"planetary_lord":"Mercury"},{"name":"Hora 14","start":"18:51","end":"19:51","startHours":18.852224476177522,"endHours":19.852224476177522,"planetary_lord":"Venus"},{"name":"Hora 15","start":"19:51","end":"20:51","startHours":19.852224476177522,"endHours":20.852224476177522,"planetary_lord":"Sun"},{"name":"Hora 16","start":"20:51","end":"21:51","startHours":20.852224476177522,"endHours":21.852224476177522,"planetary_lord":"Mars"},{"name":"Hora 17","start":"21:51","end":"22:51","startHours":21.852224476177522,"endHours":22.852224476177522,"planetary_lord":"Jupiter"},{"name":"Hora 18","start":"22:51","end":"23:51","startHours":22.852224476177522,"endHours":23.852224476177522,"planetary_lord":"Saturn"},{"name":"Hora 19","start":"23:51","end":"00:51","startHours":23.852224476177522,"endHours":24.852224476177522,"planetary_lord":"Moon"},{"name":"Hora 20","start":"00:51","end":"01:51","startHours":24.852224476177522,"endHours":25.852224476177522,"planetary_lord":"Mercury"},{"name":"Hora 21","start":"01:51","end":"02:51","startHours":25.852224476177522,"endHours":26.852224476177522,"planetary_lord":"Venus"},{"name":"Hora 22","start":"02:51","end":"03:51","startHours":26.852224476177522,"endHours":27.852224476177522,"planetary_lord":"Sun"},{"name":"Hora 23","start":"03:51","end":"04:51","startHours":27.852224476177522,"endHours":28.852224476177522,"planetary_lord":"Mars"},{"name":"Hora 24","start":"04:51","end":"05:51","startHours":28.852224476177522,"endHours":29.852224476177522,"planetary_lord":"Jupiter"}],"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","Kanyā","Tulā","Dhanu","Kumbha"],"unfavorable_rashis":["Meṣa","Karka","Siṃha","Vṛścika","Makara","Mīna"]},"dishaShool":"West (Paścim)","chandraVasa":"East","rahuVasa":"North-East","anandadiYoga":{"name":"Śubha","quality":"Auspicious"},"tropicalRitu":"Varṣā (Monsoon)","vedicRitu":"Varṣā (Monsoon)","tropicalAyana":"Dakṣiṇāyana","vedicAyana":"Dakṣiṇāyana","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":13.094665112544744,"eotMinutes":-3.5280577209103767,"ayanamsa":24.0434}},"calendars":{"vikram_samvat":2070,"vikram_samvatsara":"Parābhava","saka_samvat":1935,"saka_samvatsara":"Vijaya","bengali_samvat":1420,"malayalam_era":1189,"nanakshahi_year":544,"lunar_month":"Śrāvaṇa","lunar_month_paksha_full":"Śrāvaṇa Śukla Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Śrāvaṇa","lunar_month_amanta":"Śrāvaṇa","lunar_month_is_adhika":false,"lunar_month_purnimanta_is_adhika":false,"lunar_month_amanta_is_adhika":false,"solar_month":"Siṃha (Āvaṇi)","ritu":"Varṣā (Monsoon)","display_summary":"Śrāvaṇa Śukla Dvādaśī · Vikram 2070 Parābhava · Śaka 1935 Vijaya"},"festivals":[],"todays_walk":{"walk":{"id":"surya-walk","name":"Sūrya Walk","name_sanskrit":"सूर्य यात्रा","type":"graha","description":"Self-illumination + BG 4.1 (Sun-lineage of Gītā transmission).","step_count":6,"url":"/walk/surya-walk"},"reason":"Ravivāra (Sunday) — 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 August 18, 2013 CE · Mathurā · Vidhyamitra","description":"August 18, 2013 CE for Mathurā: Śukla Dvādaśī, sūryodaya 05:51, sūryāsta 18:55.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/mathura/2013-08-18","hreflang_alternates":{"en":"https://vidhyamitra.com/city/mathura/2013-08-18","sa":"https://sa.vidhyamitra.com/city/mathura/2013-08-18","hi":"https://hi.vidhyamitra.com/city/mathura/2013-08-18","x-default":"https://vidhyamitra.com/city/mathura/2013-08-18"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-09-11T16:01:50.847Z","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":"2026-09-11T16:01:50.847Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-09-11T16:01:50.847Z","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"}}}