{"id":"vidhyamitra:city-day:vrindavan:2020-10-04:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/vrindavan/2020-10-04","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2020-10-04","date_display":"October 4, 2020 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":2020,"month":10,"day":4,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2459126.770833,"kali_year":5122,"ahargana":1870661.2708,"sun":{"sidereal_longitude":166.3445,"rashi":6,"rashi_name":"Kanyā"},"moon":{"sidereal_longitude":12.6574,"rashi":1,"rashi_name":"Meṣa"},"tithi":{"number":18,"name":"Tṛtīyā","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Tṛtīyā","elongation_degrees":206.3129,"elapsed_within_tithi_degrees":2.3129},"nakshatra":{"number":1,"name":"Aśvinī","pada":4,"moon_longitude":12.6574,"elapsed_within_degrees":12.6574},"yoga":{"number":14,"name":"Harṣaṇa","sum_longitude":179.0019},"karana":{"half_tithi_index":34,"name":"Vaṇija"},"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":2020,"month":10,"day":4,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2459126.770833,"ahargana":1870661.2708,"kali_year":5122,"ayanamsa_lahiri":24.143,"grahas":{"sun":{"sidereal_longitude":167.140131,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":13,"name":"Hasta","pada":3},"retrograde":false},"moon":{"sidereal_longitude":10.694930999999997,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":1,"name":"Aśvinī","pada":4},"retrograde":false,"latitude":-3.4812},"mars":{"sidereal_longitude":359.645731,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":27,"name":"Revatī","pada":4},"retrograde":false},"mercury":{"sidereal_longitude":192.52723100000003,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":15,"name":"Svātī","pada":2},"retrograde":false},"jupiter":{"sidereal_longitude":263.97013100000004,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":4},"retrograde":false},"venus":{"sidereal_longitude":126.97223099999997,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":10,"name":"Maghā","pada":3},"retrograde":false},"saturn":{"sidereal_longitude":271.20203100000003,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":2},"retrograde":false},"rahu":{"sidereal_longitude":63.3636,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":5,"name":"Mṛgaśīrṣā","pada":4},"retrograde":false},"ketu":{"sidereal_longitude":243.3636,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","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":2020,"month":10,"day":4,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2459126.770833,"kali_year":5122,"ahargana":1870661.2708,"sun":{"sidereal_longitude":166.3445,"rashi":6,"rashi_name":"Kanyā"},"moon":{"sidereal_longitude":12.6574,"rashi":1,"rashi_name":"Meṣa"},"tithi":{"number":18,"name":"Tṛtīyā","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Tṛtīyā","elongation_degrees":206.3129,"elapsed_within_tithi_degrees":2.3129},"nakshatra":{"number":1,"name":"Aśvinī","pada":4,"moon_longitude":12.6574,"elapsed_within_degrees":12.6574},"yoga":{"number":14,"name":"Harṣaṇa","sum_longitude":179.0019},"karana":{"half_tithi_index":34,"name":"Vaṇija"},"vara":{"number":2,"name":"Ravivāra (Sunday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-3.481,"elongation":153.687},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-3.481,"opposition_distance":26.313}},"eclipse_window_40days":[]},"city":{"slug":"vrindavan","name":"Vṛndāvana","lat":27.565,"lon":77.6593,"tz_offset_hours":5.5,"state":"Uttar Pradesh","country":"IN","tier":"tirtha"},"tier2":{"city":{"slug":"vrindavan","name":"Vṛndāvana","lat":27.565,"lon":77.6593,"tz_offset_hours":5.5,"state":"Uttar Pradesh","country":"IN","tier":"tirtha"},"sunriseLocal":"06:13","sunsetLocal":"18:02","solarNoonLocal":"12:07","dayLengthHours":11.814370483735928,"dayLengthDisplay":"11 Hours 48 Mins 52 Secs","nightLengthDisplay":"12 Hours 11 Mins 08 Secs","moonriseLocal":"19:11","moonsetLocal":"08:12","rahuKala":{"name":"Rāhu Kāla","start":"16:33","end":"18:02","startHours":16.55148454493947,"endHours":18.02828085540646,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"12:07","end":"13:36","startHours":12.121095613538497,"endHours":13.597891924005488,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"15:04","end":"16:33","startHours":15.074688234472479,"endHours":16.55148454493947,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:58","end":"09:22","startHours":8.970596817875585,"endHours":9.364409167333449,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:42","end":"07:01","startHours":6.706175808492864,"endHours":7.021225688059155,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:44","end":"12:31","startHours":11.727283264080633,"endHours":12.51490796299636,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"04:38","end":"05:26","startHours":4.638660973839077,"endHours":5.426285672754805,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"05:14","end":"06:13","startHours":5.229379498025873,"endHours":6.213910371670534,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:05","end":"14:53","startHours":14.090157360827819,"endHours":14.877782059743547,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:50","end":"18:14","startHours":17.82828085540646,"endHours":18.22828085540646,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"18:02","end":"18:31","startHours":18.02828085540646,"endHours":18.52054629222879,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:47","end":"19:32","startHours":17.77828085540646,"endHours":19.52828085540646,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:44","end":"00:31","startHours":23.727283264080633,"endHours":24.51490796299636,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Udveg","start":"06:13","end":"07:41","startHours":6.213910371670534,"endHours":7.690706682137525,"quality":"inauspicious"},{"name":"Chala","start":"07:41","end":"09:10","startHours":7.690706682137525,"endHours":9.167502992604515,"quality":"neutral"},{"name":"Labha","start":"09:10","end":"10:39","startHours":9.167502992604515,"endHours":10.644299303071506,"quality":"auspicious"},{"name":"Amṛta","start":"10:39","end":"12:07","startHours":10.644299303071506,"endHours":12.121095613538497,"quality":"auspicious"},{"name":"Kāla","start":"12:07","end":"13:36","startHours":12.121095613538497,"endHours":13.597891924005488,"quality":"inauspicious"},{"name":"Śubha","start":"13:36","end":"15:04","startHours":13.597891924005488,"endHours":15.074688234472479,"quality":"auspicious"},{"name":"Roga","start":"15:04","end":"16:33","startHours":15.074688234472479,"endHours":16.55148454493947,"quality":"inauspicious"},{"name":"Udveg","start":"16:33","end":"18:02","startHours":16.55148454493947,"endHours":18.02828085540646,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Śubha","start":"18:02","end":"19:33","startHours":18.02828085540646,"endHours":19.55148454493947,"quality":"auspicious"},{"name":"Roga","start":"19:33","end":"21:04","startHours":19.55148454493947,"endHours":21.07468823447248,"quality":"inauspicious"},{"name":"Udveg","start":"21:04","end":"22:36","startHours":21.07468823447248,"endHours":22.597891924005488,"quality":"inauspicious"},{"name":"Chala","start":"22:36","end":"00:07","startHours":22.597891924005488,"endHours":24.121095613538497,"quality":"neutral"},{"name":"Labha","start":"00:07","end":"01:39","startHours":24.121095613538497,"endHours":25.644299303071506,"quality":"auspicious"},{"name":"Amṛta","start":"01:39","end":"03:10","startHours":25.644299303071506,"endHours":27.167502992604515,"quality":"auspicious"},{"name":"Kāla","start":"03:10","end":"04:41","startHours":27.167502992604515,"endHours":28.690706682137524,"quality":"inauspicious"},{"name":"Śubha","start":"04:41","end":"06:13","startHours":28.690706682137524,"endHours":30.213910371670533,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"06:13","end":"07:13","startHours":6.213910371670534,"endHours":7.213910371670534,"planetary_lord":"Sun"},{"name":"Hora 2","start":"07:13","end":"08:13","startHours":7.213910371670534,"endHours":8.213910371670533,"planetary_lord":"Mars"},{"name":"Hora 3","start":"08:13","end":"09:13","startHours":8.213910371670533,"endHours":9.213910371670533,"planetary_lord":"Jupiter"},{"name":"Hora 4","start":"09:13","end":"10:13","startHours":9.213910371670533,"endHours":10.213910371670533,"planetary_lord":"Saturn"},{"name":"Hora 5","start":"10:13","end":"11:13","startHours":10.213910371670533,"endHours":11.213910371670533,"planetary_lord":"Moon"},{"name":"Hora 6","start":"11:13","end":"12:13","startHours":11.213910371670533,"endHours":12.213910371670533,"planetary_lord":"Mercury"},{"name":"Hora 7","start":"12:13","end":"13:13","startHours":12.213910371670533,"endHours":13.213910371670533,"planetary_lord":"Venus"},{"name":"Hora 8","start":"13:13","end":"14:13","startHours":13.213910371670533,"endHours":14.213910371670533,"planetary_lord":"Sun"},{"name":"Hora 9","start":"14:13","end":"15:13","startHours":14.213910371670533,"endHours":15.213910371670533,"planetary_lord":"Mars"},{"name":"Hora 10","start":"15:13","end":"16:13","startHours":15.213910371670533,"endHours":16.213910371670533,"planetary_lord":"Jupiter"},{"name":"Hora 11","start":"16:13","end":"17:13","startHours":16.213910371670533,"endHours":17.213910371670533,"planetary_lord":"Saturn"},{"name":"Hora 12","start":"17:13","end":"18:13","startHours":17.213910371670533,"endHours":18.213910371670533,"planetary_lord":"Moon"},{"name":"Hora 13","start":"18:13","end":"19:13","startHours":18.213910371670533,"endHours":19.213910371670533,"planetary_lord":"Mercury"},{"name":"Hora 14","start":"19:13","end":"20:13","startHours":19.213910371670533,"endHours":20.213910371670533,"planetary_lord":"Venus"},{"name":"Hora 15","start":"20:13","end":"21:13","startHours":20.213910371670533,"endHours":21.213910371670533,"planetary_lord":"Sun"},{"name":"Hora 16","start":"21:13","end":"22:13","startHours":21.213910371670533,"endHours":22.213910371670533,"planetary_lord":"Mars"},{"name":"Hora 17","start":"22:13","end":"23:13","startHours":22.213910371670533,"endHours":23.213910371670533,"planetary_lord":"Jupiter"},{"name":"Hora 18","start":"23:13","end":"00:13","startHours":23.213910371670533,"endHours":24.213910371670533,"planetary_lord":"Saturn"},{"name":"Hora 19","start":"00:13","end":"01:13","startHours":24.213910371670533,"endHours":25.213910371670533,"planetary_lord":"Moon"},{"name":"Hora 20","start":"01:13","end":"02:13","startHours":25.213910371670533,"endHours":26.213910371670533,"planetary_lord":"Mercury"},{"name":"Hora 21","start":"02:13","end":"03:13","startHours":26.213910371670533,"endHours":27.213910371670533,"planetary_lord":"Venus"},{"name":"Hora 22","start":"03:13","end":"04:13","startHours":27.213910371670533,"endHours":28.213910371670533,"planetary_lord":"Sun"},{"name":"Hora 23","start":"04:13","end":"05:13","startHours":28.213910371670533,"endHours":29.213910371670533,"planetary_lord":"Mars"},{"name":"Hora 24","start":"05:13","end":"06:13","startHours":29.213910371670533,"endHours":30.213910371670533,"planetary_lord":"Jupiter"}],"taraBala":{"favorable_nakshatras":["Bharaṇī","Kṛttikā","Rohiṇī","Mṛgaśirā","Ārdrā","Pūrva Phalgunī","Uttara Phalgunī","Hasta","Citrā","Svātī","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Śravaṇa","Dhaniṣṭhā","Śatabhiṣaj"],"unfavorable_nakshatras":["Aśvinī","Punarvasu","Puṣya","Aśleṣā","Maghā","Viśākhā","Anurādhā","Jyeṣṭhā","Mūla","Pūrva Bhādrapadā","Uttara Bhādrapadā","Revatī"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Meṣa","Mithuna","Kanyā","Tulā","Makara","Kumbha"],"unfavorable_rashis":["Vṛṣabha","Karka","Siṃha","Vṛścika","Dhanu","Mīna"]},"dishaShool":"West (Paścim)","chandraVasa":"East","rahuVasa":"North-East","anandadiYoga":{"name":"Ānanda","quality":"Auspicious"},"tropicalRitu":"Śarad (Autumn) (tropical)","vedicRitu":"Varṣā (Monsoon)","tropicalAyana":"Dakṣiṇāyana","vedicAyana":"Dakṣiṇāyana","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":-4.463230474434042,"eotMinutes":12.09706318769023,"ayanamsa":24.143}},"calendars":{"vikram_samvat":2077,"vikram_samvatsara":"Pramādī","saka_samvat":1942,"saka_samvatsara":"Śārvarī","bengali_samvat":1427,"malayalam_era":1196,"nanakshahi_year":551,"lunar_month":"Āśvina","lunar_month_paksha_full":"Āśvina (Adhika) Kṛṣṇa Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Āśvina","lunar_month_amanta":"Āśvina","lunar_month_is_adhika":true,"lunar_month_purnimanta_is_adhika":true,"lunar_month_amanta_is_adhika":true,"solar_month":"Kanyā (Puraṭṭāsi)","ritu":"Śarad (Autumn)","display_summary":"Āśvina (Adhika) Kṛṣṇa Tṛtīyā · Vikram 2077 Pramādī · Śaka 1942 Śārvarī"},"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":"vrindavan"},"liturgical":{"opening":"जय श्री कृष्ण","closing":"ॐ तत् सत्","attribution":"Computed by Vidhyamitra Sūrya-Siddhānta substrate + Vidhyamitra Tier-2 layer"},"seo":{"title":"Pañchāṅga October 4, 2020 CE · Vṛndāvana · Vidhyamitra","description":"October 4, 2020 CE for Vṛndāvana: Kṛṣṇa Tṛtīyā, sūryodaya 06:13, sūryāsta 18:02.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/vrindavan/2020-10-04","hreflang_alternates":{"en":"https://vidhyamitra.com/city/vrindavan/2020-10-04","sa":"https://sa.vidhyamitra.com/city/vrindavan/2020-10-04","hi":"https://hi.vidhyamitra.com/city/vrindavan/2020-10-04","x-default":"https://vidhyamitra.com/city/vrindavan/2020-10-04"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-09-22T12:41:28.570Z","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":"2026-09-22T12:41:28.570Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-09-22T12:41:28.570Z","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"}}}