{"id":"vidhyamitra:city-day:vrindavan:2076-10-15:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/vrindavan/2076-10-15","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2076-10-15","date_display":"October 15, 2076 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":"Sub-degree on Moon at any Kali-Yuga date (~2-5° residual max)","tradition_chain":"Āryabhaṭa(499) → Brahmagupta(628) → Bhāskara II(1150) → Mādhava(~1400) → Parameśvara(1430) → Nīlakaṇṭha(1501) → this","input":{"year":2076,"month":10,"day":15,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2479591.770833,"kali_year":5178,"ahargana":1891126.2708,"sun":{"sidereal_longitude":176.7368,"rashi":6,"rashi_name":"Kanyā"},"moon":{"sidereal_longitude":31.7429,"rashi":2,"rashi_name":"Vṛṣabha"},"tithi":{"number":18,"name":"Tṛtīyā","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Tṛtīyā","elongation_degrees":215.0061,"elapsed_within_tithi_degrees":11.0061},"nakshatra":{"number":3,"name":"Kṛttikā","pada":2,"moon_longitude":31.7429,"elapsed_within_degrees":5.0762},"yoga":{"number":16,"name":"Siddhi","sum_longitude":208.4797},"karana":{"half_tithi_index":35,"name":"Viṣṭi"},"vara":{"number":6,"name":"Guruvāra (Thursday)"}},"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":2076,"month":10,"day":15,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2479591.770833,"ahargana":1891126.2708,"kali_year":5178,"ayanamsa_lahiri":24.9257,"grahas":{"sun":{"sidereal_longitude":177.65731700000003,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":14,"name":"Citrā","pada":2},"retrograde":false},"moon":{"sidereal_longitude":32.233317,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":3,"name":"Kṛttikā","pada":2},"retrograde":false,"latitude":-2.0613},"mars":{"sidereal_longitude":227.17021699999998,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":1},"retrograde":false},"mercury":{"sidereal_longitude":178.48501699999997,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":14,"name":"Citrā","pada":2},"retrograde":false},"jupiter":{"sidereal_longitude":178.41051700000003,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":14,"name":"Citrā","pada":2},"retrograde":false},"venus":{"sidereal_longitude":142.379817,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","pada":3},"retrograde":false},"saturn":{"sidereal_longitude":239.469517,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":4},"retrograde":false},"rahu":{"sidereal_longitude":59.0294,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":5,"name":"Mṛgaśīrṣā","pada":2},"retrograde":false},"ketu":{"sidereal_longitude":239.0294,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","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":"Sub-degree on Moon at any Kali-Yuga date (~2-5° residual max)","tradition_chain":"Āryabhaṭa(499) → Brahmagupta(628) → Bhāskara II(1150) → Mādhava(~1400) → Parameśvara(1430) → Nīlakaṇṭha(1501) → this","input":{"year":2076,"month":10,"day":15,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2479591.770833,"kali_year":5178,"ahargana":1891126.2708,"sun":{"sidereal_longitude":176.7368,"rashi":6,"rashi_name":"Kanyā"},"moon":{"sidereal_longitude":31.7429,"rashi":2,"rashi_name":"Vṛṣabha"},"tithi":{"number":18,"name":"Tṛtīyā","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Tṛtīyā","elongation_degrees":215.0061,"elapsed_within_tithi_degrees":11.0061},"nakshatra":{"number":3,"name":"Kṛttikā","pada":2,"moon_longitude":31.7429,"elapsed_within_degrees":5.0762},"yoga":{"number":16,"name":"Siddhi","sum_longitude":208.4797},"karana":{"half_tithi_index":35,"name":"Viṣṭi"},"vara":{"number":6,"name":"Guruvāra (Thursday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-2.061,"elongation":144.994},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-2.061,"opposition_distance":35.006}},"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":"06:19","sunsetLocal":"17:50","solarNoonLocal":"12:05","dayLengthHours":11.510106970931925,"dayLengthDisplay":"11 Hours 30 Mins 36 Secs","nightLengthDisplay":"12 Hours 29 Mins 24 Secs","moonriseLocal":"19:37","moonsetLocal":"09:08","rahuKala":{"name":"Rāhu Kāla","start":"13:31","end":"14:57","startHours":13.513862865178027,"endHours":14.952626236544514,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"06:19","end":"07:46","startHours":6.320046008345572,"endHours":7.758809379712062,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"09:12","end":"10:38","startHours":9.197572751078553,"endHours":10.636336122445044,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:00","end":"09:23","startHours":9.005737634896354,"endHours":9.389407867260752,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:48","end":"07:06","startHours":6.799633798801069,"endHours":7.106569984692587,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:41","end":"12:28","startHours":11.691429261447135,"endHours":12.458769726175932,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"04:47","end":"05:33","startHours":4.785365078887982,"endHours":5.552705543616777,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"05:22","end":"06:19","startHours":5.360870427434578,"endHours":6.320046008345572,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:00","end":"14:46","startHours":13.993450655633522,"endHours":14.760791120362317,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:38","end":"18:02","startHours":17.630152979277497,"endHours":18.030152979277496,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:50","end":"18:19","startHours":17.830152979277496,"endHours":18.309740769732993,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:35","end":"19:20","startHours":17.580152979277496,"endHours":19.330152979277496,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:41","end":"00:28","startHours":23.691429261447137,"endHours":24.458769726175934,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Śubha","start":"06:19","end":"07:46","startHours":6.320046008345572,"endHours":7.758809379712062,"quality":"auspicious"},{"name":"Roga","start":"07:46","end":"09:12","startHours":7.758809379712062,"endHours":9.197572751078553,"quality":"inauspicious"},{"name":"Udveg","start":"09:12","end":"10:38","startHours":9.197572751078553,"endHours":10.636336122445044,"quality":"inauspicious"},{"name":"Chala","start":"10:38","end":"12:05","startHours":10.636336122445044,"endHours":12.075099493811535,"quality":"neutral"},{"name":"Labha","start":"12:05","end":"13:31","startHours":12.075099493811535,"endHours":13.513862865178027,"quality":"auspicious"},{"name":"Amṛta","start":"13:31","end":"14:57","startHours":13.513862865178027,"endHours":14.952626236544514,"quality":"auspicious"},{"name":"Kāla","start":"14:57","end":"16:23","startHours":14.952626236544514,"endHours":16.391389607911005,"quality":"inauspicious"},{"name":"Śubha","start":"16:23","end":"17:50","startHours":16.391389607911005,"endHours":17.830152979277496,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Amṛta","start":"17:50","end":"19:23","startHours":17.830152979277496,"endHours":19.391389607911005,"quality":"auspicious"},{"name":"Kāla","start":"19:23","end":"20:57","startHours":19.391389607911005,"endHours":20.952626236544514,"quality":"inauspicious"},{"name":"Śubha","start":"20:57","end":"22:31","startHours":20.952626236544514,"endHours":22.513862865178027,"quality":"auspicious"},{"name":"Roga","start":"22:31","end":"00:05","startHours":22.513862865178027,"endHours":24.075099493811535,"quality":"inauspicious"},{"name":"Udveg","start":"00:05","end":"01:38","startHours":24.075099493811535,"endHours":25.636336122445044,"quality":"inauspicious"},{"name":"Chala","start":"01:38","end":"03:12","startHours":25.636336122445044,"endHours":27.197572751078553,"quality":"neutral"},{"name":"Labha","start":"03:12","end":"04:46","startHours":27.197572751078553,"endHours":28.758809379712062,"quality":"auspicious"},{"name":"Amṛta","start":"04:46","end":"06:19","startHours":28.758809379712062,"endHours":30.32004600834557,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"06:19","end":"07:19","startHours":6.320046008345572,"endHours":7.320046008345572,"planetary_lord":"Jupiter"},{"name":"Hora 2","start":"07:19","end":"08:19","startHours":7.320046008345572,"endHours":8.320046008345571,"planetary_lord":"Saturn"},{"name":"Hora 3","start":"08:19","end":"09:19","startHours":8.320046008345571,"endHours":9.320046008345571,"planetary_lord":"Moon"},{"name":"Hora 4","start":"09:19","end":"10:19","startHours":9.320046008345571,"endHours":10.320046008345571,"planetary_lord":"Mercury"},{"name":"Hora 5","start":"10:19","end":"11:19","startHours":10.320046008345571,"endHours":11.320046008345571,"planetary_lord":"Venus"},{"name":"Hora 6","start":"11:19","end":"12:19","startHours":11.320046008345571,"endHours":12.320046008345571,"planetary_lord":"Sun"},{"name":"Hora 7","start":"12:19","end":"13:19","startHours":12.320046008345571,"endHours":13.320046008345571,"planetary_lord":"Mars"},{"name":"Hora 8","start":"13:19","end":"14:19","startHours":13.320046008345571,"endHours":14.320046008345571,"planetary_lord":"Jupiter"},{"name":"Hora 9","start":"14:19","end":"15:19","startHours":14.320046008345571,"endHours":15.320046008345571,"planetary_lord":"Saturn"},{"name":"Hora 10","start":"15:19","end":"16:19","startHours":15.320046008345571,"endHours":16.32004600834557,"planetary_lord":"Moon"},{"name":"Hora 11","start":"16:19","end":"17:19","startHours":16.32004600834557,"endHours":17.32004600834557,"planetary_lord":"Mercury"},{"name":"Hora 12","start":"17:19","end":"18:19","startHours":17.32004600834557,"endHours":18.32004600834557,"planetary_lord":"Venus"},{"name":"Hora 13","start":"18:19","end":"19:19","startHours":18.32004600834557,"endHours":19.32004600834557,"planetary_lord":"Sun"},{"name":"Hora 14","start":"19:19","end":"20:19","startHours":19.32004600834557,"endHours":20.32004600834557,"planetary_lord":"Mars"},{"name":"Hora 15","start":"20:19","end":"21:19","startHours":20.32004600834557,"endHours":21.32004600834557,"planetary_lord":"Jupiter"},{"name":"Hora 16","start":"21:19","end":"22:19","startHours":21.32004600834557,"endHours":22.32004600834557,"planetary_lord":"Saturn"},{"name":"Hora 17","start":"22:19","end":"23:19","startHours":22.32004600834557,"endHours":23.32004600834557,"planetary_lord":"Moon"},{"name":"Hora 18","start":"23:19","end":"00:19","startHours":23.32004600834557,"endHours":24.32004600834557,"planetary_lord":"Mercury"},{"name":"Hora 19","start":"00:19","end":"01:19","startHours":24.32004600834557,"endHours":25.32004600834557,"planetary_lord":"Venus"},{"name":"Hora 20","start":"01:19","end":"02:19","startHours":25.32004600834557,"endHours":26.32004600834557,"planetary_lord":"Sun"},{"name":"Hora 21","start":"02:19","end":"03:19","startHours":26.32004600834557,"endHours":27.32004600834557,"planetary_lord":"Mars"},{"name":"Hora 22","start":"03:19","end":"04:19","startHours":27.32004600834557,"endHours":28.32004600834557,"planetary_lord":"Jupiter"},{"name":"Hora 23","start":"04:19","end":"05:19","startHours":28.32004600834557,"endHours":29.32004600834557,"planetary_lord":"Saturn"},{"name":"Hora 24","start":"05:19","end":"06:19","startHours":29.32004600834557,"endHours":30.32004600834557,"planetary_lord":"Moon"}],"taraBala":{"favorable_nakshatras":["Rohiṇī","Mṛgaśirā","Ārdrā","Punarvasu","Puṣya","Hasta","Citrā","Svātī","Viśākhā","Anurādhā","Śravaṇa","Dhaniṣṭhā","Śatabhiṣaj","Pūrva Bhādrapadā","Uttara Bhādrapadā"],"unfavorable_nakshatras":["Aśvinī","Bharaṇī","Kṛttikā","Aśleṣā","Maghā","Pūrva Phalgunī","Uttara Phalgunī","Jyeṣṭhā","Mūla","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Revatī"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Vṛṣabha","Karka","Tulā","Vṛścika","Kumbha","Mīna"],"unfavorable_rashis":["Meṣa","Mithuna","Siṃha","Kanyā","Dhanu","Makara"]},"dishaShool":"South (Dakṣiṇa)","chandraVasa":"South-East","rahuVasa":"North-West","anandadiYoga":{"name":"Siddhi","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":-8.785624146581705,"eotMinutes":14.85683037130801,"ayanamsa":24.9257}},"calendars":{"vikram_samvat":2133,"vikram_samvatsara":"Saumya","saka_samvat":1998,"saka_samvatsara":"Durmukhi","bengali_samvat":1483,"malayalam_era":1252,"nanakshahi_year":607,"lunar_month":"Kārtika","lunar_month_paksha_full":"Kārtika Kṛṣṇa Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Kārtika","lunar_month_amanta":"Āśvina","lunar_month_is_adhika":false,"lunar_month_purnimanta_is_adhika":false,"lunar_month_amanta_is_adhika":false,"solar_month":"Kanyā (Puraṭṭāsi)","ritu":"Śarad (Autumn)","display_summary":"Kārtika Kṛṣṇa Tṛtīyā · Vikram 2133 Saumya · Śaka 1998 Durmukhi"},"festivals":[],"todays_walk":{"walk":{"id":"guru-walk","name":"Bṛhaspati Walk","name_sanskrit":"गुरु यात्रा","type":"graha","description":"Wisdom transmission + BG 4.34.","step_count":8,"url":"/walk/guru-walk"},"reason":"Guruvāra (Thursday) — its presiding graha's walk."},"cosmic_resonances":[{"historical_date":"-3137-10-04","event":"Mahābhārata Day 1 (Bhagavad Gītā delivered)","chart_id":"krishna","shared_marker":"same Kṛttikā","url":"/day/-3137-10-04","relevance":0.5},{"historical_date":"-3137-12-25","event":"Bhīṣma's Mahaprasthan","chart_id":"bhishma","shared_marker":"same Kṛttikā","url":"/day/-3137-12-25","relevance":0.5}]},"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 15, 2076 CE · Vṛndāvana · Vidhyamitra","description":"October 15, 2076 CE for Vṛndāvana: Kṛṣṇa Tṛtīyā, sūryodaya 06:19, sūryāsta 17:50.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/vrindavan/2076-10-15","hreflang_alternates":{"en":"https://vidhyamitra.com/city/vrindavan/2076-10-15","sa":"https://sa.vidhyamitra.com/city/vrindavan/2076-10-15","hi":"https://hi.vidhyamitra.com/city/vrindavan/2076-10-15","x-default":"https://vidhyamitra.com/city/vrindavan/2076-10-15"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-06-02T19:19:31.585Z","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":"2026-06-02T19:19:31.585Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-06-02T19:19:31.585Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}