{"id":"vidhyamitra:city-day:vrindavan:2142-10-15:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/vrindavan/2142-10-15","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2142-10-15","date_display":"October 15, 2142 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":2142,"month":10,"day":15,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2503696.770833,"kali_year":5244,"ahargana":1915231.2708,"sun":{"sidereal_longitude":174.6759,"rashi":6,"rashi_name":"Kanyā"},"moon":{"sidereal_longitude":122.7561,"rashi":5,"rashi_name":"Siṃha"},"tithi":{"number":26,"name":"Ekādaśī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Ekādaśī","elongation_degrees":308.0802,"elapsed_within_tithi_degrees":8.0802},"nakshatra":{"number":10,"name":"Maghā","pada":1,"moon_longitude":122.7561,"elapsed_within_degrees":2.7561},"yoga":{"number":23,"name":"Śubha","sum_longitude":297.432},"karana":{"half_tithi_index":51,"name":"Bālava"},"vara":{"number":3,"name":"Somavāra (Monday)"}},"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":2142,"month":10,"day":15,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2503696.770833,"ahargana":1915231.2708,"kali_year":5244,"ayanamsa_lahiri":25.8476,"grahas":{"sun":{"sidereal_longitude":175.759729,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":14,"name":"Citrā","pada":1},"retrograde":false},"moon":{"sidereal_longitude":122.00272900000004,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":10,"name":"Maghā","pada":1},"retrograde":false,"latitude":-4.4436},"mars":{"sidereal_longitude":251.49402899999995,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":4},"retrograde":false},"mercury":{"sidereal_longitude":177.63732900000002,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":14,"name":"Citrā","pada":2},"retrograde":false},"jupiter":{"sidereal_longitude":32.46202900000003,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":3,"name":"Kṛttikā","pada":2},"retrograde":true},"venus":{"sidereal_longitude":180.81392900000003,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":14,"name":"Citrā","pada":3},"retrograde":false},"saturn":{"sidereal_longitude":320.926829,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":25,"name":"Pūrva Bhādrapadā","pada":1},"retrograde":true},"rahu":{"sidereal_longitude":221.8305,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":17,"name":"Anurādhā","pada":3},"retrograde":false},"ketu":{"sidereal_longitude":41.8305,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":4,"name":"Rohiṇī","pada":1},"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":2142,"month":10,"day":15,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2503696.770833,"kali_year":5244,"ahargana":1915231.2708,"sun":{"sidereal_longitude":174.6759,"rashi":6,"rashi_name":"Kanyā"},"moon":{"sidereal_longitude":122.7561,"rashi":5,"rashi_name":"Siṃha"},"tithi":{"number":26,"name":"Ekādaśī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Ekādaśī","elongation_degrees":308.0802,"elapsed_within_tithi_degrees":8.0802},"nakshatra":{"number":10,"name":"Maghā","pada":1,"moon_longitude":122.7561,"elapsed_within_degrees":2.7561},"yoga":{"number":23,"name":"Śubha","sum_longitude":297.432},"karana":{"half_tithi_index":51,"name":"Bālava"},"vara":{"number":3,"name":"Somavāra (Monday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-4.444,"elongation":51.92},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-4.444,"opposition_distance":128.08}},"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":"06:18","sunsetLocal":"17:51","solarNoonLocal":"12:05","dayLengthHours":11.535925803683153,"dayLengthDisplay":"11 Hours 32 Mins 09 Secs","nightLengthDisplay":"12 Hours 27 Mins 51 Secs","moonriseLocal":"02:01","moonsetLocal":"14:58","rahuKala":{"name":"Rāhu Kāla","start":"07:45","end":"09:11","startHours":7.749127317430352,"endHours":9.191118042890746,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"10:38","end":"12:05","startHours":10.63310876835114,"endHours":12.075099493811534,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"13:31","end":"14:58","startHours":13.517090219271928,"endHours":14.959080944732321,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:00","end":"09:23","startHours":8.99885261282936,"endHours":9.383383472952131,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:47","end":"07:06","startHours":6.787800167123422,"endHours":7.095424855221639,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:41","end":"12:28","startHours":11.690568633688763,"endHours":12.459630353934305,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"04:46","end":"05:32","startHours":4.7690131514788705,"endHours":5.5380748717244135,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"05:21","end":"06:18","startHours":5.345809441663028,"endHours":6.307136591969957,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:00","end":"14:46","startHours":13.997753794425392,"endHours":14.766815514670936,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:39","end":"18:03","startHours":17.64306239565311,"endHours":18.04306239565311,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:51","end":"18:19","startHours":17.84306239565311,"endHours":18.323725970806574,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:36","end":"19:21","startHours":17.59306239565311,"endHours":19.34306239565311,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:41","end":"00:28","startHours":23.690568633688763,"endHours":24.45963035393431,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Amṛta","start":"06:18","end":"07:45","startHours":6.307136591969957,"endHours":7.749127317430352,"quality":"auspicious"},{"name":"Kāla","start":"07:45","end":"09:11","startHours":7.749127317430352,"endHours":9.191118042890746,"quality":"inauspicious"},{"name":"Śubha","start":"09:11","end":"10:38","startHours":9.191118042890746,"endHours":10.63310876835114,"quality":"auspicious"},{"name":"Roga","start":"10:38","end":"12:05","startHours":10.63310876835114,"endHours":12.075099493811534,"quality":"inauspicious"},{"name":"Udveg","start":"12:05","end":"13:31","startHours":12.075099493811534,"endHours":13.517090219271928,"quality":"inauspicious"},{"name":"Chala","start":"13:31","end":"14:58","startHours":13.517090219271928,"endHours":14.959080944732321,"quality":"neutral"},{"name":"Labha","start":"14:58","end":"16:24","startHours":14.959080944732321,"endHours":16.401071670192714,"quality":"auspicious"},{"name":"Amṛta","start":"16:24","end":"17:51","startHours":16.401071670192714,"endHours":17.84306239565311,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Chala","start":"17:51","end":"19:24","startHours":17.84306239565311,"endHours":19.401071670192717,"quality":"neutral"},{"name":"Labha","start":"19:24","end":"20:58","startHours":19.401071670192717,"endHours":20.95908094473232,"quality":"auspicious"},{"name":"Amṛta","start":"20:58","end":"22:31","startHours":20.95908094473232,"endHours":22.517090219271928,"quality":"auspicious"},{"name":"Kāla","start":"22:31","end":"00:05","startHours":22.517090219271928,"endHours":24.075099493811535,"quality":"inauspicious"},{"name":"Śubha","start":"00:05","end":"01:38","startHours":24.075099493811535,"endHours":25.63310876835114,"quality":"auspicious"},{"name":"Roga","start":"01:38","end":"03:11","startHours":25.63310876835114,"endHours":27.191118042890746,"quality":"inauspicious"},{"name":"Udveg","start":"03:11","end":"04:45","startHours":27.191118042890746,"endHours":28.74912731743035,"quality":"inauspicious"},{"name":"Chala","start":"04:45","end":"06:18","startHours":28.74912731743035,"endHours":30.307136591969957,"quality":"neutral"}],"horas":[{"name":"Hora 1","start":"06:18","end":"07:18","startHours":6.307136591969957,"endHours":7.307136591969957,"planetary_lord":"Moon"},{"name":"Hora 2","start":"07:18","end":"08:18","startHours":7.307136591969957,"endHours":8.307136591969957,"planetary_lord":"Mercury"},{"name":"Hora 3","start":"08:18","end":"09:18","startHours":8.307136591969957,"endHours":9.307136591969957,"planetary_lord":"Venus"},{"name":"Hora 4","start":"09:18","end":"10:18","startHours":9.307136591969957,"endHours":10.307136591969957,"planetary_lord":"Sun"},{"name":"Hora 5","start":"10:18","end":"11:18","startHours":10.307136591969957,"endHours":11.307136591969957,"planetary_lord":"Mars"},{"name":"Hora 6","start":"11:18","end":"12:18","startHours":11.307136591969957,"endHours":12.307136591969957,"planetary_lord":"Jupiter"},{"name":"Hora 7","start":"12:18","end":"13:18","startHours":12.307136591969957,"endHours":13.307136591969957,"planetary_lord":"Saturn"},{"name":"Hora 8","start":"13:18","end":"14:18","startHours":13.307136591969957,"endHours":14.307136591969957,"planetary_lord":"Moon"},{"name":"Hora 9","start":"14:18","end":"15:18","startHours":14.307136591969957,"endHours":15.307136591969957,"planetary_lord":"Mercury"},{"name":"Hora 10","start":"15:18","end":"16:18","startHours":15.307136591969957,"endHours":16.307136591969957,"planetary_lord":"Venus"},{"name":"Hora 11","start":"16:18","end":"17:18","startHours":16.307136591969957,"endHours":17.307136591969957,"planetary_lord":"Sun"},{"name":"Hora 12","start":"17:18","end":"18:18","startHours":17.307136591969957,"endHours":18.307136591969957,"planetary_lord":"Mars"},{"name":"Hora 13","start":"18:18","end":"19:18","startHours":18.307136591969957,"endHours":19.307136591969957,"planetary_lord":"Jupiter"},{"name":"Hora 14","start":"19:18","end":"20:18","startHours":19.307136591969957,"endHours":20.307136591969957,"planetary_lord":"Saturn"},{"name":"Hora 15","start":"20:18","end":"21:18","startHours":20.307136591969957,"endHours":21.307136591969957,"planetary_lord":"Moon"},{"name":"Hora 16","start":"21:18","end":"22:18","startHours":21.307136591969957,"endHours":22.307136591969957,"planetary_lord":"Mercury"},{"name":"Hora 17","start":"22:18","end":"23:18","startHours":22.307136591969957,"endHours":23.307136591969957,"planetary_lord":"Venus"},{"name":"Hora 18","start":"23:18","end":"00:18","startHours":23.307136591969957,"endHours":24.307136591969957,"planetary_lord":"Sun"},{"name":"Hora 19","start":"00:18","end":"01:18","startHours":24.307136591969957,"endHours":25.307136591969957,"planetary_lord":"Mars"},{"name":"Hora 20","start":"01:18","end":"02:18","startHours":25.307136591969957,"endHours":26.307136591969957,"planetary_lord":"Jupiter"},{"name":"Hora 21","start":"02:18","end":"03:18","startHours":26.307136591969957,"endHours":27.307136591969957,"planetary_lord":"Saturn"},{"name":"Hora 22","start":"03:18","end":"04:18","startHours":27.307136591969957,"endHours":28.307136591969957,"planetary_lord":"Moon"},{"name":"Hora 23","start":"04:18","end":"05:18","startHours":28.307136591969957,"endHours":29.307136591969957,"planetary_lord":"Mercury"},{"name":"Hora 24","start":"05:18","end":"06:18","startHours":29.307136591969957,"endHours":30.307136591969957,"planetary_lord":"Venus"}],"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":["Vṛṣabha","Mithuna","Siṃha","Tulā","Makara","Kumbha"],"unfavorable_rashis":["Meṣa","Karka","Kanyā","Vṛścika","Dhanu","Mīna"]},"dishaShool":"East (Pūrva)","chandraVasa":"West","rahuVasa":"North-East","anandadiYoga":{"name":"Padma","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":-8.421971931364386,"eotMinutes":14.85683037130801,"ayanamsa":25.8476}},"calendars":{"vikram_samvat":2199,"vikram_samvatsara":"Rākṣasa","saka_samvat":2064,"saka_samvatsara":"Śubhakṛt","bengali_samvat":1549,"malayalam_era":1318,"nanakshahi_year":673,"lunar_month":"Āśvina","lunar_month_paksha_full":"Āśvina Kṛṣṇa Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Āśvina","lunar_month_amanta":"Bhādrapada","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":"Āśvina Kṛṣṇa Ekādaśī · Vikram 2199 Rākṣasa · Śaka 2064 Śubhakṛt"},"festivals":[{"id":"rama-ekadashi","name":"Ramā Ekādaśī","name_sanskrit":"रमा एकादशी","tradition":"Vaishnava","associated_deity":"Bhagavān Viṣṇu (with Ramā = Lakṣmī)","significance":"Lakṣmī (Ramā) granted boon to King Mucukunda.","vrata":true,"detection":{"tithi_number":26,"tithi_paksha":"Kṛṣṇa","lunar_month":"Āśvina"},"precedence":4},{"id":"ekadashi","name":"Ekādaśī","name_sanskrit":"एकादशी","tradition":"Vaishnava","associated_deity":"Bhagavān Viṣṇu","significance":"Sacred to Bhagavān Viṣṇu; vrata for purification.","vrata":true,"detection":{"any_of":[{"tithi_number":11},{"tithi_number":26}]},"precedence":5}],"todays_walk":{"walk":{"id":"chandra-walk","name":"Candra Walk","name_sanskrit":"चन्द्र यात्रा","type":"graha","description":"Manas-control + BG 6.5-7.","step_count":5,"url":"/walk/chandra-walk"},"reason":"Somavāra (Monday) — 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 15, 2142 CE · Vṛndāvana · Vidhyamitra","description":"October 15, 2142 CE for Vṛndāvana: Kṛṣṇa Ekādaśī, sūryodaya 06:18, sūryāsta 17:51.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/vrindavan/2142-10-15","hreflang_alternates":{"en":"https://vidhyamitra.com/city/vrindavan/2142-10-15","sa":"https://sa.vidhyamitra.com/city/vrindavan/2142-10-15","hi":"https://hi.vidhyamitra.com/city/vrindavan/2142-10-15","x-default":"https://vidhyamitra.com/city/vrindavan/2142-10-15"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-06-01T21:58:45.694Z","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":"2026-06-01T21:58:45.694Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-06-01T21:58:45.694Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}