{"id":"vidhyamitra:city-day:rishikesh:2121-12-30:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/rishikesh/2121-12-30","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2121-12-30","date_display":"December 30, 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":30,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2496102.770833,"kali_year":5223,"ahargana":1907637.2708,"sun":{"sidereal_longitude":252.1581,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":143.5005,"rashi":5,"rashi_name":"Siṃha"},"tithi":{"number":21,"name":"Ṣaṣṭhī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Ṣaṣṭhī","elongation_degrees":251.3425,"elapsed_within_tithi_degrees":11.3425},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","pada":4,"moon_longitude":143.5005,"elapsed_within_degrees":10.1672},"yoga":{"number":3,"name":"Āyuṣmān","sum_longitude":35.6586},"karana":{"half_tithi_index":41,"name":"Vaṇija"},"vara":{"number":4,"name":"Maṅgalavāra (Tuesday)"}},"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":30,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2496102.770833,"ahargana":1907637.2708,"kali_year":5223,"ayanamsa_lahiri":25.5572,"grahas":{"sun":{"sidereal_longitude":252.715376,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":4},"retrograde":false},"moon":{"sidereal_longitude":142.641276,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","pada":3},"retrograde":false,"latitude":-3.8684},"mars":{"sidereal_longitude":264.120176,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":4},"retrograde":false},"mercury":{"sidereal_longitude":259.80157600000007,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":2},"retrograde":true},"jupiter":{"sidereal_longitude":124.10137599999996,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":10,"name":"Maghā","pada":2},"retrograde":true},"venus":{"sidereal_longitude":256.40677600000004,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":1},"retrograde":false},"saturn":{"sidereal_longitude":78.45747599999999,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":6,"name":"Ārdrā","pada":4},"retrograde":true},"rahu":{"sidereal_longitude":264.1972,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":4},"retrograde":false},"ketu":{"sidereal_longitude":84.1972,"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":30,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2496102.770833,"kali_year":5223,"ahargana":1907637.2708,"sun":{"sidereal_longitude":252.1581,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":143.5005,"rashi":5,"rashi_name":"Siṃha"},"tithi":{"number":21,"name":"Ṣaṣṭhī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Ṣaṣṭhī","elongation_degrees":251.3425,"elapsed_within_tithi_degrees":11.3425},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","pada":4,"moon_longitude":143.5005,"elapsed_within_degrees":10.1672},"yoga":{"number":3,"name":"Āyuṣmān","sum_longitude":35.6586},"karana":{"half_tithi_index":41,"name":"Vaṇija"},"vara":{"number":4,"name":"Maṅgalavāra (Tuesday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-3.868,"elongation":108.658},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-3.868,"opposition_distance":71.342}},"eclipse_window_40days":[{"offset_days":-6,"type":"lunar","occurs":true,"moon_latitude":1.303,"opposition_distance":1.67}]},"city":{"slug":"rishikesh","name":"Ṛṣikeśa","lat":30.0869,"lon":78.2676,"tz_offset_hours":5.5,"state":"Uttarakhand","country":"IN","tier":"tirtha"},"tier2":{"city":{"slug":"rishikesh","name":"Ṛṣikeśa","lat":30.0869,"lon":78.2676,"tz_offset_hours":5.5,"state":"Uttarakhand","country":"IN","tier":"tirtha"},"sunriseLocal":"07:13","sunsetLocal":"17:27","solarNoonLocal":"12:20","dayLengthHours":10.22875672778435,"dayLengthDisplay":"10 Hours 13 Mins 44 Secs","nightLengthDisplay":"13 Hours 46 Mins 16 Secs","moonriseLocal":"22:46","moonsetLocal":"11:13","rahuKala":{"name":"Rāhu Kāla","start":"14:53","end":"16:10","startHours":14.886070756950623,"endHours":16.16466534792367,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"09:46","end":"11:03","startHours":9.771692393058448,"endHours":11.050286984031493,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"12:20","end":"13:36","startHours":12.328881575004537,"endHours":13.60747616597758,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:36","end":"09:57","startHours":9.601213114262043,"endHours":9.942171671854855,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"07:38","end":"07:55","startHours":7.640701408103376,"endHours":7.913468254177626,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:59","end":"12:40","startHours":11.987923017411726,"endHours":12.669840132597349,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"05:51","end":"06:32","startHours":5.850668980741114,"endHours":6.532586095926738,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"06:22","end":"07:13","startHours":6.362106817130332,"endHours":7.214503211112361,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:02","end":"14:43","startHours":14.033674362968593,"endHours":14.715591478154217,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:15","end":"17:39","startHours":17.243259938896713,"endHours":17.643259938896712,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:27","end":"17:52","startHours":17.443259938896713,"endHours":17.869458135887726,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:12","end":"18:57","startHours":17.193259938896713,"endHours":18.943259938896713,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:59","end":"00:40","startHours":23.987923017411724,"endHours":24.66984013259735,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Roga","start":"07:13","end":"08:30","startHours":7.214503211112361,"endHours":8.493097802085405,"quality":"inauspicious"},{"name":"Udveg","start":"08:30","end":"09:46","startHours":8.493097802085405,"endHours":9.771692393058448,"quality":"inauspicious"},{"name":"Chala","start":"09:46","end":"11:03","startHours":9.771692393058448,"endHours":11.050286984031493,"quality":"neutral"},{"name":"Labha","start":"11:03","end":"12:20","startHours":11.050286984031493,"endHours":12.328881575004537,"quality":"auspicious"},{"name":"Amṛta","start":"12:20","end":"13:36","startHours":12.328881575004537,"endHours":13.60747616597758,"quality":"auspicious"},{"name":"Kāla","start":"13:36","end":"14:53","startHours":13.60747616597758,"endHours":14.886070756950623,"quality":"inauspicious"},{"name":"Śubha","start":"14:53","end":"16:10","startHours":14.886070756950623,"endHours":16.16466534792367,"quality":"auspicious"},{"name":"Roga","start":"16:10","end":"17:27","startHours":16.16466534792367,"endHours":17.443259938896713,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Kāla","start":"17:27","end":"19:10","startHours":17.443259938896713,"endHours":19.16466534792367,"quality":"inauspicious"},{"name":"Śubha","start":"19:10","end":"20:53","startHours":19.16466534792367,"endHours":20.886070756950623,"quality":"auspicious"},{"name":"Roga","start":"20:53","end":"22:36","startHours":20.886070756950623,"endHours":22.60747616597758,"quality":"inauspicious"},{"name":"Udveg","start":"22:36","end":"00:20","startHours":22.60747616597758,"endHours":24.328881575004537,"quality":"inauspicious"},{"name":"Chala","start":"00:20","end":"02:03","startHours":24.328881575004537,"endHours":26.050286984031494,"quality":"neutral"},{"name":"Labha","start":"02:03","end":"03:46","startHours":26.050286984031494,"endHours":27.77169239305845,"quality":"auspicious"},{"name":"Amṛta","start":"03:46","end":"05:30","startHours":27.77169239305845,"endHours":29.493097802085405,"quality":"auspicious"},{"name":"Kāla","start":"05:30","end":"07:13","startHours":29.493097802085405,"endHours":31.214503211112362,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"07:13","end":"08:13","startHours":7.214503211112361,"endHours":8.214503211112362,"planetary_lord":"Mars"},{"name":"Hora 2","start":"08:13","end":"09:13","startHours":8.214503211112362,"endHours":9.214503211112362,"planetary_lord":"Jupiter"},{"name":"Hora 3","start":"09:13","end":"10:13","startHours":9.214503211112362,"endHours":10.214503211112362,"planetary_lord":"Saturn"},{"name":"Hora 4","start":"10:13","end":"11:13","startHours":10.214503211112362,"endHours":11.214503211112362,"planetary_lord":"Moon"},{"name":"Hora 5","start":"11:13","end":"12:13","startHours":11.214503211112362,"endHours":12.214503211112362,"planetary_lord":"Mercury"},{"name":"Hora 6","start":"12:13","end":"13:13","startHours":12.214503211112362,"endHours":13.214503211112362,"planetary_lord":"Venus"},{"name":"Hora 7","start":"13:13","end":"14:13","startHours":13.214503211112362,"endHours":14.214503211112362,"planetary_lord":"Sun"},{"name":"Hora 8","start":"14:13","end":"15:13","startHours":14.214503211112362,"endHours":15.214503211112362,"planetary_lord":"Mars"},{"name":"Hora 9","start":"15:13","end":"16:13","startHours":15.214503211112362,"endHours":16.214503211112362,"planetary_lord":"Jupiter"},{"name":"Hora 10","start":"16:13","end":"17:13","startHours":16.214503211112362,"endHours":17.214503211112362,"planetary_lord":"Saturn"},{"name":"Hora 11","start":"17:13","end":"18:13","startHours":17.214503211112362,"endHours":18.214503211112362,"planetary_lord":"Moon"},{"name":"Hora 12","start":"18:13","end":"19:13","startHours":18.214503211112362,"endHours":19.214503211112362,"planetary_lord":"Mercury"},{"name":"Hora 13","start":"19:13","end":"20:13","startHours":19.214503211112362,"endHours":20.214503211112362,"planetary_lord":"Venus"},{"name":"Hora 14","start":"20:13","end":"21:13","startHours":20.214503211112362,"endHours":21.214503211112362,"planetary_lord":"Sun"},{"name":"Hora 15","start":"21:13","end":"22:13","startHours":21.214503211112362,"endHours":22.214503211112362,"planetary_lord":"Mars"},{"name":"Hora 16","start":"22:13","end":"23:13","startHours":22.214503211112362,"endHours":23.214503211112362,"planetary_lord":"Jupiter"},{"name":"Hora 17","start":"23:13","end":"00:13","startHours":23.214503211112362,"endHours":24.214503211112362,"planetary_lord":"Saturn"},{"name":"Hora 18","start":"00:13","end":"01:13","startHours":24.214503211112362,"endHours":25.214503211112362,"planetary_lord":"Moon"},{"name":"Hora 19","start":"01:13","end":"02:13","startHours":25.214503211112362,"endHours":26.214503211112362,"planetary_lord":"Mercury"},{"name":"Hora 20","start":"02:13","end":"03:13","startHours":26.214503211112362,"endHours":27.214503211112362,"planetary_lord":"Venus"},{"name":"Hora 21","start":"03:13","end":"04:13","startHours":27.214503211112362,"endHours":28.214503211112362,"planetary_lord":"Sun"},{"name":"Hora 22","start":"04:13","end":"05:13","startHours":28.214503211112362,"endHours":29.214503211112362,"planetary_lord":"Mars"},{"name":"Hora 23","start":"05:13","end":"06:13","startHours":29.214503211112362,"endHours":30.214503211112362,"planetary_lord":"Jupiter"},{"name":"Hora 24","start":"06:13","end":"07:13","startHours":30.214503211112362,"endHours":31.214503211112362,"planetary_lord":"Saturn"}],"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":["Vṛṣabha","Mithuna","Siṃha","Tulā","Makara","Kumbha"],"unfavorable_rashis":["Meṣa","Karka","Kanyā","Vṛścika","Dhanu","Mīna"]},"dishaShool":"North (Uttara)","chandraVasa":"West","rahuVasa":"North","anandadiYoga":{"name":"Siddhi","quality":"Auspicious"},"drikRitu":"Hemanta (Pre-winter) (Drik)","vedicRitu":"Hemanta (Pre-winter)","drikAyana":"Uttarāyaṇa","vedicAyana":"Dakṣiṇāyana","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization (Drikpanchang-parity)","declination":-23.178311981200977,"eotMinutes":-2.803294500272213,"ayanamsa":25.5572}},"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","solar_month":"Dhanus (Mārgaḻi)","ritu":"Hemanta (Pre-winter)","display_summary":"Pauṣa Kṛṣṇa Ṣaṣṭhī · Vikram 2178 Jaya · Śaka 2043 Vṛṣa"},"festivals":[{"id":"lohri","name":"Lohri","name_sanskrit":"लोहड़ी","tradition":"Regional","significance":"Punjab harvest festival; eve of Makara Saṅkrānti. (Approximated as 13/14 January annually; correct via Sun in Dhanu/Makara cusp.)","vrata":false,"detection":{"sun_rashi":"Dhanu"},"precedence":4},{"id":"dhanu-sankranti","name":"Dhanu Saṅkrānti","name_sanskrit":"धनु सङ्क्रान्ति","tradition":"Pan-Hindu","significance":"Sun enters Sagittarius; Dhanu-māsa (Khara-māsa).","vrata":false,"detection":{"sun_rashi":"Dhanu"},"precedence":5}],"todays_walk":{"walk":{"id":"mangala-walk","name":"Maṅgala Walk","name_sanskrit":"मङ्गल यात्रा","type":"graha","description":"Right action + BG 2.31-38 (kṣatriya-dharma).","step_count":7,"url":"/walk/mangala-walk"},"reason":"Maṅgalavāra (Tuesday) — its presiding graha's walk."},"cosmic_resonances":[]},"validity":{"eternal":false,"location_specific":"rishikesh"},"liturgical":{"opening":"जय श्री कृष्ण","closing":"ॐ तत् सत्","attribution":"Computed by Vidhyamitra Sūrya-Siddhānta substrate + Vidhyamitra Tier-2 layer"},"seo":{"title":"Pañchāṅga December 30, 2121 CE · Ṛṣikeśa · Vidhyamitra","description":"December 30, 2121 CE for Ṛṣikeśa: Kṛṣṇa Ṣaṣṭhī, sūryodaya 07:13, sūryāsta 17:27.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/rishikesh/2121-12-30","hreflang_alternates":{"en":"https://vidhyamitra.com/city/rishikesh/2121-12-30","sa":"https://sa.vidhyamitra.com/city/rishikesh/2121-12-30","hi":"https://hi.vidhyamitra.com/city/rishikesh/2121-12-30","x-default":"https://vidhyamitra.com/city/rishikesh/2121-12-30"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-22T07:55:51.690Z","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":"2026-05-22T07:55:51.690Z","verification":{"type":"community-validated","markers":["matches Drikpanchang ±1 minute on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-22T07:55:51.690Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}