{"id":"vidhyamitra:city-day:vrindavan:2121-12-29:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/vrindavan/2121-12-29","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2121-12-29","date_display":"December 29, 2121 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":2121,"month":12,"day":29,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2496101.770833,"kali_year":5223,"ahargana":1907636.2708,"sun":{"sidereal_longitude":251.1301,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":131.6544,"rashi":5,"rashi_name":"Siṃha"},"tithi":{"number":21,"name":"Ṣaṣṭhī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Ṣaṣṭhī","elongation_degrees":240.5243,"elapsed_within_tithi_degrees":0.5243},"nakshatra":{"number":10,"name":"Maghā","pada":4,"moon_longitude":131.6544,"elapsed_within_degrees":11.6544},"yoga":{"number":2,"name":"Prīti","sum_longitude":22.7846},"karana":{"half_tithi_index":40,"name":"Gara"},"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":2121,"month":12,"day":29,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2496101.770833,"ahargana":1907636.2708,"kali_year":5223,"ayanamsa_lahiri":25.5571,"grahas":{"sun":{"sidereal_longitude":251.69651399999998,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":4},"retrograde":false},"moon":{"sidereal_longitude":130.61301400000002,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":10,"name":"Maghā","pada":4},"retrograde":false,"latitude":-3.3111},"mars":{"sidereal_longitude":263.34571400000004,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":4},"retrograde":false},"mercury":{"sidereal_longitude":260.7466139999999,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":3},"retrograde":true},"jupiter":{"sidereal_longitude":124.139614,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":10,"name":"Maghā","pada":2},"retrograde":true},"venus":{"sidereal_longitude":255.14901399999997,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":1},"retrograde":false},"saturn":{"sidereal_longitude":78.539514,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":6,"name":"Ārdrā","pada":4},"retrograde":true},"rahu":{"sidereal_longitude":264.2502,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":4},"retrograde":false},"ketu":{"sidereal_longitude":84.2502,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":7,"name":"Punarvasu","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":2121,"month":12,"day":29,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2496101.770833,"kali_year":5223,"ahargana":1907636.2708,"sun":{"sidereal_longitude":251.1301,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":131.6544,"rashi":5,"rashi_name":"Siṃha"},"tithi":{"number":21,"name":"Ṣaṣṭhī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Ṣaṣṭhī","elongation_degrees":240.5243,"elapsed_within_tithi_degrees":0.5243},"nakshatra":{"number":10,"name":"Maghā","pada":4,"moon_longitude":131.6544,"elapsed_within_degrees":11.6544},"yoga":{"number":2,"name":"Prīti","sum_longitude":22.7846},"karana":{"half_tithi_index":40,"name":"Gara"},"vara":{"number":3,"name":"Somavāra (Monday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-3.311,"elongation":119.476},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-3.311,"opposition_distance":60.524}},"eclipse_window_40days":[{"offset_days":-5,"type":"lunar","occurs":true,"moon_latitude":1.303,"opposition_distance":1.67}]},"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":"07:09","sunsetLocal":"17:34","solarNoonLocal":"12:22","dayLengthHours":10.412626644644238,"dayLengthDisplay":"10 Hours 24 Mins 45 Secs","nightLengthDisplay":"13 Hours 35 Mins 15 Secs","moonriseLocal":"21:55","moonsetLocal":"10:40","rahuKala":{"name":"Rāhu Kāla","start":"08:27","end":"09:46","startHours":8.45709128233457,"endHours":9.7586696129151,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"11:04","end":"12:22","startHours":11.06024794349563,"endHours":12.36182627407616,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"13:40","end":"14:58","startHours":13.663404604656689,"endHours":14.96498293523722,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:35","end":"09:56","startHours":9.585125835504362,"endHours":9.932213390325838,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"07:35","end":"07:52","startHours":7.5893723952808845,"endHours":7.867042439138064,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"12:01","end":"12:43","startHours":12.014738719254686,"endHours":12.708913828897634,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"05:46","end":"06:28","startHours":5.767162732468142,"endHours":6.461337842111091,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"06:17","end":"07:09","startHours":6.287794064700354,"endHours":7.155512951754041,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:06","end":"14:47","startHours":14.097264048183533,"endHours":14.791439157826481,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:22","end":"17:46","startHours":17.36813959639828,"endHours":17.768139596398278,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:34","end":"18:00","startHours":17.56813959639828,"endHours":18.00199903992512,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:19","end":"19:04","startHours":17.31813959639828,"endHours":19.06813959639828,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"00:01","end":"00:43","startHours":24.014738719254684,"endHours":24.708913828897632,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Amṛta","start":"07:09","end":"08:27","startHours":7.155512951754041,"endHours":8.45709128233457,"quality":"auspicious"},{"name":"Kāla","start":"08:27","end":"09:46","startHours":8.45709128233457,"endHours":9.7586696129151,"quality":"inauspicious"},{"name":"Śubha","start":"09:46","end":"11:04","startHours":9.7586696129151,"endHours":11.06024794349563,"quality":"auspicious"},{"name":"Roga","start":"11:04","end":"12:22","startHours":11.06024794349563,"endHours":12.36182627407616,"quality":"inauspicious"},{"name":"Udveg","start":"12:22","end":"13:40","startHours":12.36182627407616,"endHours":13.663404604656689,"quality":"inauspicious"},{"name":"Chala","start":"13:40","end":"14:58","startHours":13.663404604656689,"endHours":14.96498293523722,"quality":"neutral"},{"name":"Labha","start":"14:58","end":"16:16","startHours":14.96498293523722,"endHours":16.26656126581775,"quality":"auspicious"},{"name":"Amṛta","start":"16:16","end":"17:34","startHours":16.26656126581775,"endHours":17.56813959639828,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Chala","start":"17:34","end":"19:16","startHours":17.56813959639828,"endHours":19.26656126581775,"quality":"neutral"},{"name":"Labha","start":"19:16","end":"20:58","startHours":19.26656126581775,"endHours":20.96498293523722,"quality":"auspicious"},{"name":"Amṛta","start":"20:58","end":"22:40","startHours":20.96498293523722,"endHours":22.66340460465669,"quality":"auspicious"},{"name":"Kāla","start":"22:40","end":"00:22","startHours":22.66340460465669,"endHours":24.361826274076158,"quality":"inauspicious"},{"name":"Śubha","start":"00:22","end":"02:04","startHours":24.361826274076158,"endHours":26.060247943495632,"quality":"auspicious"},{"name":"Roga","start":"02:04","end":"03:46","startHours":26.060247943495632,"endHours":27.7586696129151,"quality":"inauspicious"},{"name":"Udveg","start":"03:46","end":"05:27","startHours":27.7586696129151,"endHours":29.45709128233457,"quality":"inauspicious"},{"name":"Chala","start":"05:27","end":"07:09","startHours":29.45709128233457,"endHours":31.15551295175404,"quality":"neutral"}],"horas":[{"name":"Hora 1","start":"07:09","end":"08:09","startHours":7.155512951754041,"endHours":8.15551295175404,"planetary_lord":"Moon"},{"name":"Hora 2","start":"08:09","end":"09:09","startHours":8.15551295175404,"endHours":9.15551295175404,"planetary_lord":"Mercury"},{"name":"Hora 3","start":"09:09","end":"10:09","startHours":9.15551295175404,"endHours":10.15551295175404,"planetary_lord":"Venus"},{"name":"Hora 4","start":"10:09","end":"11:09","startHours":10.15551295175404,"endHours":11.15551295175404,"planetary_lord":"Sun"},{"name":"Hora 5","start":"11:09","end":"12:09","startHours":11.15551295175404,"endHours":12.15551295175404,"planetary_lord":"Mars"},{"name":"Hora 6","start":"12:09","end":"13:09","startHours":12.15551295175404,"endHours":13.15551295175404,"planetary_lord":"Jupiter"},{"name":"Hora 7","start":"13:09","end":"14:09","startHours":13.15551295175404,"endHours":14.15551295175404,"planetary_lord":"Saturn"},{"name":"Hora 8","start":"14:09","end":"15:09","startHours":14.15551295175404,"endHours":15.15551295175404,"planetary_lord":"Moon"},{"name":"Hora 9","start":"15:09","end":"16:09","startHours":15.15551295175404,"endHours":16.15551295175404,"planetary_lord":"Mercury"},{"name":"Hora 10","start":"16:09","end":"17:09","startHours":16.15551295175404,"endHours":17.15551295175404,"planetary_lord":"Venus"},{"name":"Hora 11","start":"17:09","end":"18:09","startHours":17.15551295175404,"endHours":18.15551295175404,"planetary_lord":"Sun"},{"name":"Hora 12","start":"18:09","end":"19:09","startHours":18.15551295175404,"endHours":19.15551295175404,"planetary_lord":"Mars"},{"name":"Hora 13","start":"19:09","end":"20:09","startHours":19.15551295175404,"endHours":20.15551295175404,"planetary_lord":"Jupiter"},{"name":"Hora 14","start":"20:09","end":"21:09","startHours":20.15551295175404,"endHours":21.15551295175404,"planetary_lord":"Saturn"},{"name":"Hora 15","start":"21:09","end":"22:09","startHours":21.15551295175404,"endHours":22.15551295175404,"planetary_lord":"Moon"},{"name":"Hora 16","start":"22:09","end":"23:09","startHours":22.15551295175404,"endHours":23.15551295175404,"planetary_lord":"Mercury"},{"name":"Hora 17","start":"23:09","end":"00:09","startHours":23.15551295175404,"endHours":24.15551295175404,"planetary_lord":"Venus"},{"name":"Hora 18","start":"00:09","end":"01:09","startHours":24.15551295175404,"endHours":25.15551295175404,"planetary_lord":"Sun"},{"name":"Hora 19","start":"01:09","end":"02:09","startHours":25.15551295175404,"endHours":26.15551295175404,"planetary_lord":"Mars"},{"name":"Hora 20","start":"02:09","end":"03:09","startHours":26.15551295175404,"endHours":27.15551295175404,"planetary_lord":"Jupiter"},{"name":"Hora 21","start":"03:09","end":"04:09","startHours":27.15551295175404,"endHours":28.15551295175404,"planetary_lord":"Saturn"},{"name":"Hora 22","start":"04:09","end":"05:09","startHours":28.15551295175404,"endHours":29.15551295175404,"planetary_lord":"Moon"},{"name":"Hora 23","start":"05:09","end":"06:09","startHours":29.15551295175404,"endHours":30.15551295175404,"planetary_lord":"Mercury"},{"name":"Hora 24","start":"06:09","end":"07:09","startHours":30.15551295175404,"endHours":31.15551295175404,"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":"Hemanta (Pre-winter) (tropical)","vedicRitu":"Hemanta (Pre-winter)","tropicalAyana":"Uttarāyaṇa","vedicAyana":"Dakṣiṇāyana","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":-23.237874467240776,"eotMinutes":-2.3467764445695645,"ayanamsa":25.5571}},"calendars":{"vikram_samvat":2178,"vikram_samvatsara":"Jaya","saka_samvat":2043,"saka_samvatsara":"Vṛṣa","bengali_samvat":1528,"malayalam_era":1297,"nanakshahi_year":652,"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 Ṣaṣṭhī · Vikram 2178 Jaya · Śaka 2043 Vṛṣa"},"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 December 29, 2121 CE · Vṛndāvana · Vidhyamitra","description":"December 29, 2121 CE for Vṛndāvana: Kṛṣṇa Ṣaṣṭhī, sūryodaya 07:09, sūryāsta 17:34.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/vrindavan/2121-12-29","hreflang_alternates":{"en":"https://vidhyamitra.com/city/vrindavan/2121-12-29","sa":"https://sa.vidhyamitra.com/city/vrindavan/2121-12-29","hi":"https://hi.vidhyamitra.com/city/vrindavan/2121-12-29","x-default":"https://vidhyamitra.com/city/vrindavan/2121-12-29"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-06-01T00:28:13.644Z","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":"2026-06-01T00:28:13.644Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-06-01T00:28:13.644Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}