{"id":"vidhyamitra:city-day:vrindavan:2165-01-07:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/vrindavan/2165-01-07","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2165-01-07","date_display":"January 7, 2165 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":2165,"month":1,"day":7,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2511816.770833,"kali_year":5266,"ahargana":1923351.2708,"sun":{"sidereal_longitude":260.2527,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":188.8341,"rashi":7,"rashi_name":"Tulā"},"tithi":{"number":25,"name":"Daśamī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Daśamī","elongation_degrees":288.5814,"elapsed_within_tithi_degrees":0.5814},"nakshatra":{"number":15,"name":"Svātī","pada":1,"moon_longitude":188.8341,"elapsed_within_degrees":2.1674},"yoga":{"number":7,"name":"Sukarma","sum_longitude":89.0868},"karana":{"half_tithi_index":48,"name":"Vaṇija"},"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":2165,"month":1,"day":7,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2511816.770833,"ahargana":1923351.2708,"kali_year":5266,"ayanamsa_lahiri":26.1582,"grahas":{"sun":{"sidereal_longitude":260.840186,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":3},"retrograde":false},"moon":{"sidereal_longitude":186.42108600000006,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":14,"name":"Citrā","pada":4},"retrograde":false,"latitude":2.7214},"mars":{"sidereal_longitude":236.85558600000002,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":4},"retrograde":false},"mercury":{"sidereal_longitude":260.035386,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":3},"retrograde":false},"jupiter":{"sidereal_longitude":324.98588599999994,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":25,"name":"Pūrva Bhādrapadā","pada":2},"retrograde":false},"venus":{"sidereal_longitude":250.34738600000003,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":4},"retrograde":false},"saturn":{"sidereal_longitude":243.56588599999998,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":2},"retrograde":false},"rahu":{"sidereal_longitude":151.5939,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":12,"name":"Uttara Phalgunī","pada":2},"retrograde":false},"ketu":{"sidereal_longitude":331.5939,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":25,"name":"Pūrva Bhādrapadā","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":2165,"month":1,"day":7,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2511816.770833,"kali_year":5266,"ahargana":1923351.2708,"sun":{"sidereal_longitude":260.2527,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":188.8341,"rashi":7,"rashi_name":"Tulā"},"tithi":{"number":25,"name":"Daśamī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Daśamī","elongation_degrees":288.5814,"elapsed_within_tithi_degrees":0.5814},"nakshatra":{"number":15,"name":"Svātī","pada":1,"moon_longitude":188.8341,"elapsed_within_degrees":2.1674},"yoga":{"number":7,"name":"Sukarma","sum_longitude":89.0868},"karana":{"half_tithi_index":48,"name":"Vaṇija"},"vara":{"number":3,"name":"Somavāra (Monday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":2.721,"elongation":71.419},"lunar":{"type":"lunar","occurs":false,"moon_latitude":2.721,"opposition_distance":108.581}},"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":"07:11","sunsetLocal":"17:40","solarNoonLocal":"12:26","dayLengthHours":10.485486270085879,"dayLengthDisplay":"10 Hours 29 Mins 08 Secs","nightLengthDisplay":"13 Hours 30 Mins 52 Secs","moonriseLocal":"01:52","moonsetLocal":"13:04","rahuKala":{"name":"Rāhu Kāla","start":"08:30","end":"09:48","startHours":8.495523887174791,"endHours":9.806209670935527,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"11:07","end":"12:26","startHours":11.11689545469626,"endHours":12.427581238456995,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"13:44","end":"15:03","startHours":13.73826702221773,"endHours":15.048952805978466,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:38","end":"09:59","startHours":9.631451566434095,"endHours":9.980967775436957,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"07:37","end":"07:54","startHours":7.621733364667635,"endHours":7.901346331869925,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"12:05","end":"12:47","startHours":12.078065029454132,"endHours":12.777097447459857,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"05:47","end":"06:29","startHours":5.786773267402605,"endHours":6.485805685408331,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"06:19","end":"07:11","startHours":6.3110475809069,"endHours":7.184838103414056,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:11","end":"14:52","startHours":14.175162283471309,"endHours":14.874194701477034,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:28","end":"17:52","startHours":17.470324373499935,"endHours":17.870324373499933,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:40","end":"18:06","startHours":17.670324373499934,"endHours":18.107219634753513,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:25","end":"19:10","startHours":17.420324373499934,"endHours":19.170324373499934,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"00:05","end":"00:47","startHours":24.07806502945413,"endHours":24.77709744745986,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Amṛta","start":"07:11","end":"08:30","startHours":7.184838103414056,"endHours":8.495523887174791,"quality":"auspicious"},{"name":"Kāla","start":"08:30","end":"09:48","startHours":8.495523887174791,"endHours":9.806209670935527,"quality":"inauspicious"},{"name":"Śubha","start":"09:48","end":"11:07","startHours":9.806209670935527,"endHours":11.11689545469626,"quality":"auspicious"},{"name":"Roga","start":"11:07","end":"12:26","startHours":11.11689545469626,"endHours":12.427581238456995,"quality":"inauspicious"},{"name":"Udveg","start":"12:26","end":"13:44","startHours":12.427581238456995,"endHours":13.73826702221773,"quality":"inauspicious"},{"name":"Chala","start":"13:44","end":"15:03","startHours":13.73826702221773,"endHours":15.048952805978466,"quality":"neutral"},{"name":"Labha","start":"15:03","end":"16:22","startHours":15.048952805978466,"endHours":16.3596385897392,"quality":"auspicious"},{"name":"Amṛta","start":"16:22","end":"17:40","startHours":16.3596385897392,"endHours":17.670324373499934,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Chala","start":"17:40","end":"19:22","startHours":17.670324373499934,"endHours":19.3596385897392,"quality":"neutral"},{"name":"Labha","start":"19:22","end":"21:03","startHours":19.3596385897392,"endHours":21.048952805978466,"quality":"auspicious"},{"name":"Amṛta","start":"21:03","end":"22:44","startHours":21.048952805978466,"endHours":22.73826702221773,"quality":"auspicious"},{"name":"Kāla","start":"22:44","end":"00:26","startHours":22.73826702221773,"endHours":24.427581238456995,"quality":"inauspicious"},{"name":"Śubha","start":"00:26","end":"02:07","startHours":24.427581238456995,"endHours":26.11689545469626,"quality":"auspicious"},{"name":"Roga","start":"02:07","end":"03:48","startHours":26.11689545469626,"endHours":27.806209670935523,"quality":"inauspicious"},{"name":"Udveg","start":"03:48","end":"05:30","startHours":27.806209670935523,"endHours":29.49552388717479,"quality":"inauspicious"},{"name":"Chala","start":"05:30","end":"07:11","startHours":29.49552388717479,"endHours":31.184838103414055,"quality":"neutral"}],"horas":[{"name":"Hora 1","start":"07:11","end":"08:11","startHours":7.184838103414056,"endHours":8.184838103414055,"planetary_lord":"Moon"},{"name":"Hora 2","start":"08:11","end":"09:11","startHours":8.184838103414055,"endHours":9.184838103414055,"planetary_lord":"Mercury"},{"name":"Hora 3","start":"09:11","end":"10:11","startHours":9.184838103414055,"endHours":10.184838103414055,"planetary_lord":"Venus"},{"name":"Hora 4","start":"10:11","end":"11:11","startHours":10.184838103414055,"endHours":11.184838103414055,"planetary_lord":"Sun"},{"name":"Hora 5","start":"11:11","end":"12:11","startHours":11.184838103414055,"endHours":12.184838103414055,"planetary_lord":"Mars"},{"name":"Hora 6","start":"12:11","end":"13:11","startHours":12.184838103414055,"endHours":13.184838103414055,"planetary_lord":"Jupiter"},{"name":"Hora 7","start":"13:11","end":"14:11","startHours":13.184838103414055,"endHours":14.184838103414055,"planetary_lord":"Saturn"},{"name":"Hora 8","start":"14:11","end":"15:11","startHours":14.184838103414055,"endHours":15.184838103414055,"planetary_lord":"Moon"},{"name":"Hora 9","start":"15:11","end":"16:11","startHours":15.184838103414055,"endHours":16.184838103414055,"planetary_lord":"Mercury"},{"name":"Hora 10","start":"16:11","end":"17:11","startHours":16.184838103414055,"endHours":17.184838103414055,"planetary_lord":"Venus"},{"name":"Hora 11","start":"17:11","end":"18:11","startHours":17.184838103414055,"endHours":18.184838103414055,"planetary_lord":"Sun"},{"name":"Hora 12","start":"18:11","end":"19:11","startHours":18.184838103414055,"endHours":19.184838103414055,"planetary_lord":"Mars"},{"name":"Hora 13","start":"19:11","end":"20:11","startHours":19.184838103414055,"endHours":20.184838103414055,"planetary_lord":"Jupiter"},{"name":"Hora 14","start":"20:11","end":"21:11","startHours":20.184838103414055,"endHours":21.184838103414055,"planetary_lord":"Saturn"},{"name":"Hora 15","start":"21:11","end":"22:11","startHours":21.184838103414055,"endHours":22.184838103414055,"planetary_lord":"Moon"},{"name":"Hora 16","start":"22:11","end":"23:11","startHours":22.184838103414055,"endHours":23.184838103414055,"planetary_lord":"Mercury"},{"name":"Hora 17","start":"23:11","end":"00:11","startHours":23.184838103414055,"endHours":24.184838103414055,"planetary_lord":"Venus"},{"name":"Hora 18","start":"00:11","end":"01:11","startHours":24.184838103414055,"endHours":25.184838103414055,"planetary_lord":"Sun"},{"name":"Hora 19","start":"01:11","end":"02:11","startHours":25.184838103414055,"endHours":26.184838103414055,"planetary_lord":"Mars"},{"name":"Hora 20","start":"02:11","end":"03:11","startHours":26.184838103414055,"endHours":27.184838103414055,"planetary_lord":"Jupiter"},{"name":"Hora 21","start":"03:11","end":"04:11","startHours":27.184838103414055,"endHours":28.184838103414055,"planetary_lord":"Saturn"},{"name":"Hora 22","start":"04:11","end":"05:11","startHours":28.184838103414055,"endHours":29.184838103414055,"planetary_lord":"Moon"},{"name":"Hora 23","start":"05:11","end":"06:11","startHours":29.184838103414055,"endHours":30.184838103414055,"planetary_lord":"Mercury"},{"name":"Hora 24","start":"06:11","end":"07:11","startHours":30.184838103414055,"endHours":31.184838103414055,"planetary_lord":"Venus"}],"taraBala":{"favorable_nakshatras":["Aśvinī","Bharaṇī","Punarvasu","Puṣya","Aśleṣā","Maghā","Pūrva Phalgunī","Viśākhā","Anurādhā","Jyeṣṭhā","Mūla","Pūrva Āṣāḍhā","Pūrva Bhādrapadā","Uttara Bhādrapadā","Revatī"],"unfavorable_nakshatras":["Kṛttikā","Rohiṇī","Mṛgaśirā","Ārdrā","Uttara Phalgunī","Hasta","Citrā","Svātī","Uttara Āṣāḍhā","Śravaṇa","Dhaniṣṭhā","Śatabhiṣaj"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Meṣa","Karka","Siṃha","Tulā","Dhanu","Mīna"],"unfavorable_rashis":["Vṛṣabha","Mithuna","Kanyā","Vṛścika","Makara","Kumbha"]},"dishaShool":"East (Pūrva)","chandraVasa":"North","rahuVasa":"North-East","anandadiYoga":{"name":"Siddhi","quality":"Auspicious"},"tropicalRitu":"Hemanta (Pre-winter) (tropical)","vedicRitu":"Hemanta (Pre-winter)","tropicalAyana":"Uttarāyaṇa","vedicAyana":"Dakṣiṇāyana","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":-22.3557804488528,"eotMinutes":-6.292074307419696,"ayanamsa":26.1582}},"calendars":{"vikram_samvat":2222,"vikram_samvatsara":"Bahudhānya","saka_samvat":2087,"saka_samvatsara":"Krodhana","bengali_samvat":1572,"malayalam_era":1341,"nanakshahi_year":696,"lunar_month":"Pauṣa","lunar_month_paksha_full":"Pauṣa Kṛṣṇa Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Pauṣa","lunar_month_amanta":"Mārgaśīrṣa","lunar_month_is_adhika":false,"lunar_month_purnimanta_is_adhika":false,"lunar_month_amanta_is_adhika":false,"solar_month":"Dhanus (Mārgaḻi)","ritu":"Hemanta (Pre-winter)","display_summary":"Pauṣa Kṛṣṇa Daśamī · Vikram 2222 Bahudhānya · Śaka 2087 Krodhana"},"festivals":[],"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 January 7, 2165 CE · Vṛndāvana · Vidhyamitra","description":"January 7, 2165 CE for Vṛndāvana: Kṛṣṇa Daśamī, sūryodaya 07:11, sūryāsta 17:40.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/vrindavan/2165-01-07","hreflang_alternates":{"en":"https://vidhyamitra.com/city/vrindavan/2165-01-07","sa":"https://sa.vidhyamitra.com/city/vrindavan/2165-01-07","hi":"https://hi.vidhyamitra.com/city/vrindavan/2165-01-07","x-default":"https://vidhyamitra.com/city/vrindavan/2165-01-07"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-31T01:32:41.166Z","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":"2026-05-31T01:32:41.166Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-31T01:32:41.166Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}