{"id":"vidhyamitra:city-day:haridwar:2020-12-21:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/haridwar/2020-12-21","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2020-12-21","date_display":"December 21, 2020 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":"Not independently benchmarked across the declared range","tradition_chain":"Āryabhaṭa(499) → Brahmagupta(628) → Bhāskara II(1150) → Mādhava(~1400) → Parameśvara(1430) → Nīlakaṇṭha(1501) → this","input":{"year":2020,"month":12,"day":21,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2459204.770833,"kali_year":5122,"ahargana":1870739.2708,"sun":{"sidereal_longitude":245.1028,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":323.4361,"rashi":11,"rashi_name":"Kumbha"},"tithi":{"number":7,"name":"Saptamī","paksha":"Śukla","full_name":"Śukla Saptamī","elongation_degrees":78.3333,"elapsed_within_tithi_degrees":6.3333},"nakshatra":{"number":25,"name":"Pūrva Bhādrapadā","pada":2,"moon_longitude":323.4361,"elapsed_within_degrees":3.4361},"yoga":{"number":16,"name":"Siddhi","sum_longitude":208.5388},"karana":{"half_tithi_index":13,"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":2020,"month":12,"day":21,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2459204.770833,"ahargana":1870739.2708,"kali_year":5122,"ayanamsa_lahiri":24.146,"grahas":{"sun":{"sidereal_longitude":245.48445100000004,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":2},"retrograde":false},"moon":{"sidereal_longitude":325.0166509999999,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":25,"name":"Pūrva Bhādrapadā","pada":2},"retrograde":false,"latitude":-4.477},"mars":{"sidereal_longitude":358.512151,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":27,"name":"Revatī","pada":4},"retrograde":false},"mercury":{"sidereal_longitude":245.7050509999999,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":2},"retrograde":false},"jupiter":{"sidereal_longitude":276.18315099999995,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":3},"retrograde":false},"venus":{"sidereal_longitude":222.268051,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":17,"name":"Anurādhā","pada":3},"retrograde":false},"saturn":{"sidereal_longitude":276.262151,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":3},"retrograde":false},"rahu":{"sidereal_longitude":59.2308,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":5,"name":"Mṛgaśīrṣā","pada":2},"retrograde":false},"ketu":{"sidereal_longitude":239.2308,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","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":"Not independently benchmarked across the declared range","tradition_chain":"Āryabhaṭa(499) → Brahmagupta(628) → Bhāskara II(1150) → Mādhava(~1400) → Parameśvara(1430) → Nīlakaṇṭha(1501) → this","input":{"year":2020,"month":12,"day":21,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2459204.770833,"kali_year":5122,"ahargana":1870739.2708,"sun":{"sidereal_longitude":245.1028,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":323.4361,"rashi":11,"rashi_name":"Kumbha"},"tithi":{"number":7,"name":"Saptamī","paksha":"Śukla","full_name":"Śukla Saptamī","elongation_degrees":78.3333,"elapsed_within_tithi_degrees":6.3333},"nakshatra":{"number":25,"name":"Pūrva Bhādrapadā","pada":2,"moon_longitude":323.4361,"elapsed_within_degrees":3.4361},"yoga":{"number":16,"name":"Siddhi","sum_longitude":208.5388},"karana":{"half_tithi_index":13,"name":"Vaṇija"},"vara":{"number":3,"name":"Somavāra (Monday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-4.477,"elongation":78.333},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-4.477,"opposition_distance":101.667}},"eclipse_window_40days":[{"offset_days":9,"type":"lunar","occurs":true,"moon_latitude":1.091,"opposition_distance":1.549}]},"city":{"slug":"haridwar","name":"Haridwār","lat":29.9457,"lon":78.1642,"tz_offset_hours":5.5,"state":"Uttarakhand","country":"IN","tier":"tirtha"},"tier2":{"city":{"slug":"haridwar","name":"Haridwār","lat":29.9457,"lon":78.1642,"tz_offset_hours":5.5,"state":"Uttarakhand","country":"IN","tier":"tirtha"},"sunriseLocal":"07:09","sunsetLocal":"17:22","solarNoonLocal":"12:16","dayLengthHours":10.215763684558453,"dayLengthDisplay":"10 Hours 12 Mins 57 Secs","nightLengthDisplay":"13 Hours 47 Mins 03 Secs","moonriseLocal":"11:41","moonsetLocal":"23:27","rahuKala":{"name":"Rāhu Kāla","start":"08:26","end":"09:43","startHours":8.435098128174875,"endHours":9.712068588744682,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"10:59","end":"12:16","startHours":10.989039049314488,"endHours":12.266009509884295,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"13:33","end":"14:49","startHours":13.542979970454102,"endHours":14.819950431023909,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:33","end":"09:53","startHours":9.541805860668708,"endHours":9.882331316820657,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"07:35","end":"07:51","startHours":7.583784487795005,"endHours":7.856204852716564,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:56","end":"12:36","startHours":11.925484053732347,"endHours":12.606534966036243,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"05:48","end":"06:29","startHours":5.796025842997276,"endHours":6.477076755301172,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"06:18","end":"07:09","startHours":6.306814027225198,"endHours":7.158127667605069,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"13:58","end":"14:39","startHours":13.968636790644037,"endHours":14.649687702947935,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:10","end":"17:34","startHours":17.173891352163523,"endHours":17.57389135216352,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:22","end":"17:48","startHours":17.373891352163522,"endHours":17.799548172353457,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:07","end":"18:52","startHours":17.123891352163522,"endHours":18.873891352163522,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:56","end":"00:36","startHours":23.925484053732347,"endHours":24.606534966036243,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Amṛta","start":"07:09","end":"08:26","startHours":7.158127667605069,"endHours":8.435098128174875,"quality":"auspicious"},{"name":"Kāla","start":"08:26","end":"09:43","startHours":8.435098128174875,"endHours":9.712068588744682,"quality":"inauspicious"},{"name":"Śubha","start":"09:43","end":"10:59","startHours":9.712068588744682,"endHours":10.989039049314488,"quality":"auspicious"},{"name":"Roga","start":"10:59","end":"12:16","startHours":10.989039049314488,"endHours":12.266009509884295,"quality":"inauspicious"},{"name":"Udveg","start":"12:16","end":"13:33","startHours":12.266009509884295,"endHours":13.542979970454102,"quality":"inauspicious"},{"name":"Chala","start":"13:33","end":"14:49","startHours":13.542979970454102,"endHours":14.819950431023909,"quality":"neutral"},{"name":"Labha","start":"14:49","end":"16:06","startHours":14.819950431023909,"endHours":16.096920891593715,"quality":"auspicious"},{"name":"Amṛta","start":"16:06","end":"17:22","startHours":16.096920891593715,"endHours":17.373891352163522,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Chala","start":"17:22","end":"19:06","startHours":17.373891352163522,"endHours":19.096920891593715,"quality":"neutral"},{"name":"Labha","start":"19:06","end":"20:49","startHours":19.096920891593715,"endHours":20.81995043102391,"quality":"auspicious"},{"name":"Amṛta","start":"20:49","end":"22:33","startHours":20.81995043102391,"endHours":22.542979970454102,"quality":"auspicious"},{"name":"Kāla","start":"22:33","end":"00:16","startHours":22.542979970454102,"endHours":24.266009509884295,"quality":"inauspicious"},{"name":"Śubha","start":"00:16","end":"01:59","startHours":24.266009509884295,"endHours":25.98903904931449,"quality":"auspicious"},{"name":"Roga","start":"01:59","end":"03:43","startHours":25.98903904931449,"endHours":27.712068588744682,"quality":"inauspicious"},{"name":"Udveg","start":"03:43","end":"05:26","startHours":27.712068588744682,"endHours":29.435098128174875,"quality":"inauspicious"},{"name":"Chala","start":"05:26","end":"07:09","startHours":29.435098128174875,"endHours":31.15812766760507,"quality":"neutral"}],"horas":[{"name":"Hora 1","start":"07:09","end":"08:09","startHours":7.158127667605069,"endHours":8.158127667605068,"planetary_lord":"Moon"},{"name":"Hora 2","start":"08:09","end":"09:09","startHours":8.158127667605068,"endHours":9.158127667605068,"planetary_lord":"Mercury"},{"name":"Hora 3","start":"09:09","end":"10:09","startHours":9.158127667605068,"endHours":10.158127667605068,"planetary_lord":"Venus"},{"name":"Hora 4","start":"10:09","end":"11:09","startHours":10.158127667605068,"endHours":11.158127667605068,"planetary_lord":"Sun"},{"name":"Hora 5","start":"11:09","end":"12:09","startHours":11.158127667605068,"endHours":12.158127667605068,"planetary_lord":"Mars"},{"name":"Hora 6","start":"12:09","end":"13:09","startHours":12.158127667605068,"endHours":13.158127667605068,"planetary_lord":"Jupiter"},{"name":"Hora 7","start":"13:09","end":"14:09","startHours":13.158127667605068,"endHours":14.158127667605068,"planetary_lord":"Saturn"},{"name":"Hora 8","start":"14:09","end":"15:09","startHours":14.158127667605068,"endHours":15.158127667605068,"planetary_lord":"Moon"},{"name":"Hora 9","start":"15:09","end":"16:09","startHours":15.158127667605068,"endHours":16.15812766760507,"planetary_lord":"Mercury"},{"name":"Hora 10","start":"16:09","end":"17:09","startHours":16.15812766760507,"endHours":17.15812766760507,"planetary_lord":"Venus"},{"name":"Hora 11","start":"17:09","end":"18:09","startHours":17.15812766760507,"endHours":18.15812766760507,"planetary_lord":"Sun"},{"name":"Hora 12","start":"18:09","end":"19:09","startHours":18.15812766760507,"endHours":19.15812766760507,"planetary_lord":"Mars"},{"name":"Hora 13","start":"19:09","end":"20:09","startHours":19.15812766760507,"endHours":20.15812766760507,"planetary_lord":"Jupiter"},{"name":"Hora 14","start":"20:09","end":"21:09","startHours":20.15812766760507,"endHours":21.15812766760507,"planetary_lord":"Saturn"},{"name":"Hora 15","start":"21:09","end":"22:09","startHours":21.15812766760507,"endHours":22.15812766760507,"planetary_lord":"Moon"},{"name":"Hora 16","start":"22:09","end":"23:09","startHours":22.15812766760507,"endHours":23.15812766760507,"planetary_lord":"Mercury"},{"name":"Hora 17","start":"23:09","end":"00:09","startHours":23.15812766760507,"endHours":24.15812766760507,"planetary_lord":"Venus"},{"name":"Hora 18","start":"00:09","end":"01:09","startHours":24.15812766760507,"endHours":25.15812766760507,"planetary_lord":"Sun"},{"name":"Hora 19","start":"01:09","end":"02:09","startHours":25.15812766760507,"endHours":26.15812766760507,"planetary_lord":"Mars"},{"name":"Hora 20","start":"02:09","end":"03:09","startHours":26.15812766760507,"endHours":27.15812766760507,"planetary_lord":"Jupiter"},{"name":"Hora 21","start":"03:09","end":"04:09","startHours":27.15812766760507,"endHours":28.15812766760507,"planetary_lord":"Saturn"},{"name":"Hora 22","start":"04:09","end":"05:09","startHours":28.15812766760507,"endHours":29.15812766760507,"planetary_lord":"Moon"},{"name":"Hora 23","start":"05:09","end":"06:09","startHours":29.15812766760507,"endHours":30.15812766760507,"planetary_lord":"Mercury"},{"name":"Hora 24","start":"06:09","end":"07:09","startHours":30.15812766760507,"endHours":31.15812766760507,"planetary_lord":"Venus"}],"taraBala":{"favorable_nakshatras":["Aśvinī","Bharaṇī","Kṛttikā","Puṣya","Aśleṣā","Maghā","Pūrva Phalgunī","Uttara Phalgunī","Anurādhā","Jyeṣṭhā","Mūla","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Uttara Bhādrapadā","Revatī"],"unfavorable_nakshatras":["Rohiṇī","Mṛgaśirā","Ārdrā","Punarvasu","Hasta","Citrā","Svātī","Viśākhā","Śravaṇa","Dhaniṣṭhā","Śatabhiṣaj","Pūrva Bhādrapadā"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Meṣa","Karka","Siṃha","Vṛścika","Dhanu","Kumbha"],"unfavorable_rashis":["Vṛṣabha","Mithuna","Kanyā","Tulā","Makara","Mīna"]},"dishaShool":"East (Pūrva)","chandraVasa":"South","rahuVasa":"North-East","anandadiYoga":{"name":"Ānanda","quality":"Auspicious"},"tropicalRitu":"Hemanta (Pre-winter)","vedicRitu":"Hemanta (Pre-winter)","tropicalAyana":"Dakṣiṇāyana","vedicAyana":"Dakṣiṇāyana","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":-23.43598337744336,"eotMinutes":1.382629406942221,"ayanamsa":24.146}},"calendars":{"vikram_samvat":2077,"vikram_samvatsara":"Pramādī","saka_samvat":1942,"saka_samvatsara":"Śārvarī","bengali_samvat":1427,"malayalam_era":1196,"nanakshahi_year":551,"lunar_month":"Mārgaśīrṣa","lunar_month_paksha_full":"Mārgaśīrṣa Śukla Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Mārgaśīrṣa","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":"Mārgaśīrṣa Śukla Saptamī · Vikram 2077 Pramādī · Śaka 1942 Śārvarī"},"festivals":[],"todays_walk":{"walk":{"id":"chandra-walk","name":"Candra Walk","name_sanskrit":"चन्द्र यात्रा","type":"graha","description":"Manas-control + BG 6.5-7, 6.34-35.","step_count":5,"url":"/walk/chandra-walk","steps":[{"label":"BG 6.5","url":"/bhagavad-gita/6/5","purpose":"Lift the self by the Self; begin the walk with inner responsibility."},{"label":"BG 6.6","url":"/bhagavad-gita/6/6","purpose":"See the mind as friend when mastered and enemy when unmastered."},{"label":"BG 6.7","url":"/bhagavad-gita/6/7","purpose":"Stabilize the conquered mind in heat/cold, honor/dishonor, pleasure/pain."},{"label":"BG 6.34","url":"/bhagavad-gita/6/34","purpose":"Name the restless mind honestly before trying to discipline it."},{"label":"BG 6.35","url":"/bhagavad-gita/6/35","purpose":"Complete with abhyāsa and vairāgya: practice and detachment."}]},"reason":"Somavāra (Monday) — its presiding graha's walk."},"cosmic_resonances":[]},"validity":{"eternal":false,"location_specific":"haridwar"},"liturgical":{"opening":"जय श्री कृष्ण","closing":"ॐ तत् सत्","attribution":"Computed by Vidhyamitra Sūrya-Siddhānta substrate + Vidhyamitra Tier-2 layer"},"seo":{"title":"Pañchāṅga December 21, 2020 CE · Haridwār · Vidhyamitra","description":"December 21, 2020 CE for Haridwār: Śukla Saptamī, sūryodaya 07:09, sūryāsta 17:22.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/haridwar/2020-12-21","hreflang_alternates":{"en":"https://vidhyamitra.com/city/haridwar/2020-12-21","sa":"https://sa.vidhyamitra.com/city/haridwar/2020-12-21","hi":"https://hi.vidhyamitra.com/city/haridwar/2020-12-21","x-default":"https://vidhyamitra.com/city/haridwar/2020-12-21"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-08-24T17:02:13.740Z","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":"2026-08-24T17:02:13.740Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-08-24T17:02:13.740Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"},"reader_local_antaryami":{"reader_geography":"Every reader enters from their own kṣetra anywhere on Bhūmi; no single city is the universal center.","purna_chain":["Hosted scripture","Named-tradition interpretation","Original Vidhyamitra contemplation","Bhūmi-born material medium","Vidhyamitra portal","Responsible reader in their own kṣetra"],"claim_boundary":"The legacy purna_chain field carries a source-to-reader sequence, not a revealed physical descent, universal cosmology, or proof that software is conscious.","antaryami_responsibility_formula":"Kṣīrodakaśāyī Viṣṇu = Paramātmā = Antaryāmī. Jīva desires. Prakṛti executes through guṇas. Paramātmā witnesses, permits, remembers, guides, and sustains. Bhagavān is the ultimate source.","source_anchors":[{"label":"BG 13.23","path":"/bhagavad-gita/13/23","meaning":"upadraṣṭā-anumantā · witness-permitter"},{"label":"BG 15.15","path":"/bhagavad-gita/15/15","meaning":"the Lord seated in every heart as memory, knowledge, and forgetting"},{"label":"BG 18.61","path":"/bhagavad-gita/18/61","meaning":"Īśvara seated in the heart of all beings"}],"nama_seal":"Hare Krishna Hare Krishna · Krishna Krishna Hare Hare · Hare Rama Hare Rama · Rama Rama Hare Hare"}}}