{"id":"vidhyamitra:city-day:vrindavan:2157-10-20:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/vrindavan/2157-10-20","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2157-10-20","date_display":"October 20, 2157 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":2157,"month":10,"day":20,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2509180.770833,"kali_year":5259,"ahargana":1920715.2708,"sun":{"sidereal_longitude":179.7582,"rashi":6,"rashi_name":"Kanyā"},"moon":{"sidereal_longitude":22.1141,"rashi":1,"rashi_name":"Meṣa"},"tithi":{"number":17,"name":"Dvitīyā","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Dvitīyā","elongation_degrees":202.3559,"elapsed_within_tithi_degrees":10.3559},"nakshatra":{"number":2,"name":"Bharaṇī","pada":3,"moon_longitude":22.1141,"elapsed_within_degrees":8.7808},"yoga":{"number":16,"name":"Siddhi","sum_longitude":201.8723},"karana":{"half_tithi_index":33,"name":"Gara"},"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":2157,"month":10,"day":20,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2509180.770833,"ahargana":1920715.2708,"kali_year":5259,"ayanamsa_lahiri":26.0574,"grahas":{"sun":{"sidereal_longitude":180.86889999999994,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":14,"name":"Citrā","pada":3},"retrograde":false},"moon":{"sidereal_longitude":24.708799999999997,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":2,"name":"Bharaṇī","pada":4},"retrograde":false,"latitude":4.4995},"mars":{"sidereal_longitude":246.76279999999997,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":3},"retrograde":false},"mercury":{"sidereal_longitude":203.01260000000002,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":16,"name":"Viśākhā","pada":1},"retrograde":false},"jupiter":{"sidereal_longitude":129.00189999999998,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":10,"name":"Maghā","pada":3},"retrograde":false},"venus":{"sidereal_longitude":219.98170000000005,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":17,"name":"Anurādhā","pada":2},"retrograde":false},"saturn":{"sidereal_longitude":161.707,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":13,"name":"Hasta","pada":1},"retrograde":false},"rahu":{"sidereal_longitude":291.2618,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":22,"name":"Śravaṇa","pada":4},"retrograde":false},"ketu":{"sidereal_longitude":111.2618,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":9,"name":"Āśleṣā","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":"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":2157,"month":10,"day":20,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2509180.770833,"kali_year":5259,"ahargana":1920715.2708,"sun":{"sidereal_longitude":179.7582,"rashi":6,"rashi_name":"Kanyā"},"moon":{"sidereal_longitude":22.1141,"rashi":1,"rashi_name":"Meṣa"},"tithi":{"number":17,"name":"Dvitīyā","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Dvitīyā","elongation_degrees":202.3559,"elapsed_within_tithi_degrees":10.3559},"nakshatra":{"number":2,"name":"Bharaṇī","pada":3,"moon_longitude":22.1141,"elapsed_within_degrees":8.7808},"yoga":{"number":16,"name":"Siddhi","sum_longitude":201.8723},"karana":{"half_tithi_index":33,"name":"Gara"},"vara":{"number":6,"name":"Guruvāra (Thursday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":4.5,"elongation":157.644},"lunar":{"type":"lunar","occurs":false,"moon_latitude":4.5,"opposition_distance":22.356}},"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":"06:22","sunsetLocal":"17:46","solarNoonLocal":"12:04","dayLengthHours":11.396541622935962,"dayLengthDisplay":"11 Hours 23 Mins 48 Secs","nightLengthDisplay":"12 Hours 36 Mins 12 Secs","moonriseLocal":"18:57","moonsetLocal":"08:21","rahuKala":{"name":"Rāhu Kāla","start":"13:29","end":"14:55","startHours":13.485666515463143,"endHours":14.910234218330137,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"06:22","end":"07:47","startHours":6.362828001128166,"endHours":7.787395703995162,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"09:13","end":"10:38","startHours":9.211963406862157,"endHours":10.636531109729152,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:01","end":"09:24","startHours":9.02202104647989,"endHours":9.401905767244422,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:50","end":"07:08","startHours":6.837683902083832,"endHours":7.141591678695457,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:41","end":"12:26","startHours":11.681214091831615,"endHours":12.440983533360678,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"04:51","end":"05:36","startHours":4.843289118070038,"endHours":5.603058559599102,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"05:25","end":"06:22","startHours":5.413116199216836,"endHours":6.362828001128166,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"13:58","end":"14:43","startHours":13.960522416418808,"endHours":14.720291857947872,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:34","end":"17:58","startHours":17.55936962406413,"endHours":17.959369624064127,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:46","end":"18:14","startHours":17.759369624064128,"endHours":18.23422552501979,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:31","end":"19:16","startHours":17.509369624064128,"endHours":19.259369624064128,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:41","end":"00:26","startHours":23.681214091831613,"endHours":24.44098353336068,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Śubha","start":"06:22","end":"07:47","startHours":6.362828001128166,"endHours":7.787395703995162,"quality":"auspicious"},{"name":"Roga","start":"07:47","end":"09:13","startHours":7.787395703995162,"endHours":9.211963406862157,"quality":"inauspicious"},{"name":"Udveg","start":"09:13","end":"10:38","startHours":9.211963406862157,"endHours":10.636531109729152,"quality":"inauspicious"},{"name":"Chala","start":"10:38","end":"12:04","startHours":10.636531109729152,"endHours":12.061098812596146,"quality":"neutral"},{"name":"Labha","start":"12:04","end":"13:29","startHours":12.061098812596146,"endHours":13.485666515463143,"quality":"auspicious"},{"name":"Amṛta","start":"13:29","end":"14:55","startHours":13.485666515463143,"endHours":14.910234218330137,"quality":"auspicious"},{"name":"Kāla","start":"14:55","end":"16:20","startHours":14.910234218330137,"endHours":16.334801921197133,"quality":"inauspicious"},{"name":"Śubha","start":"16:20","end":"17:46","startHours":16.334801921197133,"endHours":17.759369624064128,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Amṛta","start":"17:46","end":"19:20","startHours":17.759369624064128,"endHours":19.334801921197133,"quality":"auspicious"},{"name":"Kāla","start":"19:20","end":"20:55","startHours":19.334801921197133,"endHours":20.91023421833014,"quality":"inauspicious"},{"name":"Śubha","start":"20:55","end":"22:29","startHours":20.91023421833014,"endHours":22.485666515463144,"quality":"auspicious"},{"name":"Roga","start":"22:29","end":"00:04","startHours":22.485666515463144,"endHours":24.061098812596146,"quality":"inauspicious"},{"name":"Udveg","start":"00:04","end":"01:38","startHours":24.061098812596146,"endHours":25.63653110972915,"quality":"inauspicious"},{"name":"Chala","start":"01:38","end":"03:13","startHours":25.63653110972915,"endHours":27.211963406862157,"quality":"neutral"},{"name":"Labha","start":"03:13","end":"04:47","startHours":27.211963406862157,"endHours":28.78739570399516,"quality":"auspicious"},{"name":"Amṛta","start":"04:47","end":"06:22","startHours":28.78739570399516,"endHours":30.362828001128165,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"06:22","end":"07:22","startHours":6.362828001128166,"endHours":7.362828001128166,"planetary_lord":"Jupiter"},{"name":"Hora 2","start":"07:22","end":"08:22","startHours":7.362828001128166,"endHours":8.362828001128166,"planetary_lord":"Saturn"},{"name":"Hora 3","start":"08:22","end":"09:22","startHours":8.362828001128166,"endHours":9.362828001128166,"planetary_lord":"Moon"},{"name":"Hora 4","start":"09:22","end":"10:22","startHours":9.362828001128166,"endHours":10.362828001128166,"planetary_lord":"Mercury"},{"name":"Hora 5","start":"10:22","end":"11:22","startHours":10.362828001128166,"endHours":11.362828001128166,"planetary_lord":"Venus"},{"name":"Hora 6","start":"11:22","end":"12:22","startHours":11.362828001128166,"endHours":12.362828001128166,"planetary_lord":"Sun"},{"name":"Hora 7","start":"12:22","end":"13:22","startHours":12.362828001128166,"endHours":13.362828001128166,"planetary_lord":"Mars"},{"name":"Hora 8","start":"13:22","end":"14:22","startHours":13.362828001128166,"endHours":14.362828001128166,"planetary_lord":"Jupiter"},{"name":"Hora 9","start":"14:22","end":"15:22","startHours":14.362828001128166,"endHours":15.362828001128166,"planetary_lord":"Saturn"},{"name":"Hora 10","start":"15:22","end":"16:22","startHours":15.362828001128166,"endHours":16.362828001128165,"planetary_lord":"Moon"},{"name":"Hora 11","start":"16:22","end":"17:22","startHours":16.362828001128165,"endHours":17.362828001128165,"planetary_lord":"Mercury"},{"name":"Hora 12","start":"17:22","end":"18:22","startHours":17.362828001128165,"endHours":18.362828001128165,"planetary_lord":"Venus"},{"name":"Hora 13","start":"18:22","end":"19:22","startHours":18.362828001128165,"endHours":19.362828001128165,"planetary_lord":"Sun"},{"name":"Hora 14","start":"19:22","end":"20:22","startHours":19.362828001128165,"endHours":20.362828001128165,"planetary_lord":"Mars"},{"name":"Hora 15","start":"20:22","end":"21:22","startHours":20.362828001128165,"endHours":21.362828001128165,"planetary_lord":"Jupiter"},{"name":"Hora 16","start":"21:22","end":"22:22","startHours":21.362828001128165,"endHours":22.362828001128165,"planetary_lord":"Saturn"},{"name":"Hora 17","start":"22:22","end":"23:22","startHours":22.362828001128165,"endHours":23.362828001128165,"planetary_lord":"Moon"},{"name":"Hora 18","start":"23:22","end":"00:22","startHours":23.362828001128165,"endHours":24.362828001128165,"planetary_lord":"Mercury"},{"name":"Hora 19","start":"00:22","end":"01:22","startHours":24.362828001128165,"endHours":25.362828001128165,"planetary_lord":"Venus"},{"name":"Hora 20","start":"01:22","end":"02:22","startHours":25.362828001128165,"endHours":26.362828001128165,"planetary_lord":"Sun"},{"name":"Hora 21","start":"02:22","end":"03:22","startHours":26.362828001128165,"endHours":27.362828001128165,"planetary_lord":"Mars"},{"name":"Hora 22","start":"03:22","end":"04:22","startHours":27.362828001128165,"endHours":28.362828001128165,"planetary_lord":"Jupiter"},{"name":"Hora 23","start":"04:22","end":"05:22","startHours":28.362828001128165,"endHours":29.362828001128165,"planetary_lord":"Saturn"},{"name":"Hora 24","start":"05:22","end":"06:22","startHours":29.362828001128165,"endHours":30.362828001128165,"planetary_lord":"Moon"}],"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":["Meṣa","Mithuna","Kanyā","Tulā","Makara","Kumbha"],"unfavorable_rashis":["Vṛṣabha","Karka","Siṃha","Vṛścika","Dhanu","Mīna"]},"dishaShool":"South (Dakṣiṇa)","chandraVasa":"East","rahuVasa":"North-West","anandadiYoga":{"name":"Kāṇa","quality":"Inauspicious"},"tropicalRitu":"Śarad (Autumn)","vedicRitu":"Śarad (Autumn)","tropicalAyana":"Dakṣiṇāyana","vedicAyana":"Dakṣiṇāyana","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":-10.376211617325339,"eotMinutes":15.696871244231174,"ayanamsa":26.0574}},"calendars":{"vikram_samvat":2214,"vikram_samvatsara":"Pramoda","saka_samvat":2079,"saka_samvatsara":"Piṅgala","bengali_samvat":1564,"malayalam_era":1333,"nanakshahi_year":688,"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":"Tulā (Aippasi)","ritu":"Śarad (Autumn)","display_summary":"Kārtika Kṛṣṇa Dvitīyā · Vikram 2214 Pramoda · Śaka 2079 Piṅgala"},"festivals":[{"id":"tula-sankranti","name":"Tulā Saṅkrānti","name_sanskrit":"तुला सङ्क्रान्ति","tradition":"Pan-Hindu","significance":"Sun enters Libra.","vrata":false,"detection":{"sun_rashi_ingress":"Tulā"},"precedence":5}],"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":[]},"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 20, 2157 CE · Vṛndāvana · Vidhyamitra","description":"October 20, 2157 CE for Vṛndāvana: Kṛṣṇa Dvitīyā, sūryodaya 06:22, sūryāsta 17:46.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/vrindavan/2157-10-20","hreflang_alternates":{"en":"https://vidhyamitra.com/city/vrindavan/2157-10-20","sa":"https://sa.vidhyamitra.com/city/vrindavan/2157-10-20","hi":"https://hi.vidhyamitra.com/city/vrindavan/2157-10-20","x-default":"https://vidhyamitra.com/city/vrindavan/2157-10-20"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-31T15:13:51.637Z","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":"2026-05-31T15:13:51.637Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-31T15:13:51.637Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}