{"id":"vidhyamitra:city-day:rishikesh:2043-12-04:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/rishikesh/2043-12-04","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2043-12-04","date_display":"December 4, 2043 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":2043,"month":12,"day":4,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2467587.770833,"kali_year":5145,"ahargana":1879122.2708,"sun":{"sidereal_longitude":226.7028,"rashi":8,"rashi_name":"Vṛścika"},"moon":{"sidereal_longitude":255.9073,"rashi":9,"rashi_name":"Dhanu"},"tithi":{"number":3,"name":"Tṛtīyā","paksha":"Śukla","full_name":"Śukla Tṛtīyā","elongation_degrees":29.2045,"elapsed_within_tithi_degrees":5.2045},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":1,"moon_longitude":255.9073,"elapsed_within_degrees":2.574},"yoga":{"number":10,"name":"Gaṇḍa","sum_longitude":122.6101},"karana":{"half_tithi_index":4,"name":"Taitila"},"vara":{"number":0,"name":"Śukravāra (Friday)"}},"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":2043,"month":12,"day":4,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2467587.770833,"ahargana":1879122.2708,"kali_year":5145,"ayanamsa_lahiri":24.4666,"grahas":{"sun":{"sidereal_longitude":227.29135900000006,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":1},"retrograde":false},"moon":{"sidereal_longitude":253.81085899999994,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":1},"retrograde":false,"latitude":-4.4194},"mars":{"sidereal_longitude":139.97855900000002,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","pada":2},"retrograde":false},"mercury":{"sidereal_longitude":247.74065900000005,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":3},"retrograde":false},"jupiter":{"sidereal_longitude":253.32295900000008,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":4},"retrograde":false},"venus":{"sidereal_longitude":256.75155900000004,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":2},"retrograde":false},"saturn":{"sidereal_longitude":208.241259,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":16,"name":"Viśākhā","pada":3},"retrograde":false},"rahu":{"sidereal_longitude":335.0591,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":26,"name":"Uttara Bhādrapadā","pada":1},"retrograde":false},"ketu":{"sidereal_longitude":155.0591,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":12,"name":"Uttara Phalgunī","pada":3},"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":2043,"month":12,"day":4,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2467587.770833,"kali_year":5145,"ahargana":1879122.2708,"sun":{"sidereal_longitude":226.7028,"rashi":8,"rashi_name":"Vṛścika"},"moon":{"sidereal_longitude":255.9073,"rashi":9,"rashi_name":"Dhanu"},"tithi":{"number":3,"name":"Tṛtīyā","paksha":"Śukla","full_name":"Śukla Tṛtīyā","elongation_degrees":29.2045,"elapsed_within_tithi_degrees":5.2045},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":1,"moon_longitude":255.9073,"elapsed_within_degrees":2.574},"yoga":{"number":10,"name":"Gaṇḍa","sum_longitude":122.6101},"karana":{"half_tithi_index":4,"name":"Taitila"},"vara":{"number":0,"name":"Śukravāra (Friday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-4.419,"elongation":29.205},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-4.419,"opposition_distance":150.795}},"eclipse_window_40days":[]},"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":"06:58","sunsetLocal":"17:18","solarNoonLocal":"12:08","dayLengthHours":10.319391931357098,"dayLengthDisplay":"10 Hours 19 Mins 10 Secs","nightLengthDisplay":"13 Hours 40 Mins 50 Secs","moonriseLocal":"08:48","moonsetLocal":"19:00","rahuKala":{"name":"Rāhu Kāla","start":"10:51","end":"12:08","startHours":10.842888933011977,"endHours":12.132812924431615,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"14:43","end":"16:00","startHours":14.71266090727089,"endHours":16.002584898690525,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"08:16","end":"09:33","startHours":8.263040950172703,"endHours":9.55296494159234,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:23","end":"09:43","startHours":9.38097507606972,"endHours":9.724954807114958,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"07:24","end":"07:41","startHours":7.403091622559611,"endHours":7.6782754073958,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:47","end":"12:29","startHours":11.78883319338638,"endHours":12.476792655476851,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"05:36","end":"06:17","startHours":5.597198034572119,"endHours":6.285157496662592,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"06:07","end":"06:58","startHours":6.113167631139974,"endHours":6.9731169587530655,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"13:51","end":"14:32","startHours":13.852711579657797,"endHours":14.54067104174827,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:06","end":"17:30","startHours":17.092508890110164,"endHours":17.492508890110162,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:18","end":"17:43","startHours":17.292508890110163,"endHours":17.72248355391671,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:03","end":"18:48","startHours":17.042508890110163,"endHours":18.792508890110163,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:47","end":"00:29","startHours":23.788833193386377,"endHours":24.476792655476853,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Chala","start":"06:58","end":"08:16","startHours":6.9731169587530655,"endHours":8.263040950172703,"quality":"neutral"},{"name":"Labha","start":"08:16","end":"09:33","startHours":8.263040950172703,"endHours":9.55296494159234,"quality":"auspicious"},{"name":"Amṛta","start":"09:33","end":"10:51","startHours":9.55296494159234,"endHours":10.842888933011977,"quality":"auspicious"},{"name":"Kāla","start":"10:51","end":"12:08","startHours":10.842888933011977,"endHours":12.132812924431615,"quality":"inauspicious"},{"name":"Śubha","start":"12:08","end":"13:25","startHours":12.132812924431615,"endHours":13.422736915851251,"quality":"auspicious"},{"name":"Roga","start":"13:25","end":"14:43","startHours":13.422736915851251,"endHours":14.71266090727089,"quality":"inauspicious"},{"name":"Udveg","start":"14:43","end":"16:00","startHours":14.71266090727089,"endHours":16.002584898690525,"quality":"inauspicious"},{"name":"Chala","start":"16:00","end":"17:18","startHours":16.002584898690525,"endHours":17.292508890110163,"quality":"neutral"}],"nightChoghadiyas":[{"name":"Roga","start":"17:18","end":"19:00","startHours":17.292508890110163,"endHours":19.002584898690525,"quality":"inauspicious"},{"name":"Udveg","start":"19:00","end":"20:43","startHours":19.002584898690525,"endHours":20.712660907270887,"quality":"inauspicious"},{"name":"Chala","start":"20:43","end":"22:25","startHours":20.712660907270887,"endHours":22.422736915851253,"quality":"neutral"},{"name":"Labha","start":"22:25","end":"00:08","startHours":22.422736915851253,"endHours":24.132812924431615,"quality":"auspicious"},{"name":"Amṛta","start":"00:08","end":"01:51","startHours":24.132812924431615,"endHours":25.842888933011977,"quality":"auspicious"},{"name":"Kāla","start":"01:51","end":"03:33","startHours":25.842888933011977,"endHours":27.55296494159234,"quality":"inauspicious"},{"name":"Śubha","start":"03:33","end":"05:16","startHours":27.55296494159234,"endHours":29.2630409501727,"quality":"auspicious"},{"name":"Roga","start":"05:16","end":"06:58","startHours":29.2630409501727,"endHours":30.973116958753067,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"06:58","end":"07:58","startHours":6.9731169587530655,"endHours":7.9731169587530655,"planetary_lord":"Venus"},{"name":"Hora 2","start":"07:58","end":"08:58","startHours":7.9731169587530655,"endHours":8.973116958753065,"planetary_lord":"Sun"},{"name":"Hora 3","start":"08:58","end":"09:58","startHours":8.973116958753065,"endHours":9.973116958753065,"planetary_lord":"Mars"},{"name":"Hora 4","start":"09:58","end":"10:58","startHours":9.973116958753065,"endHours":10.973116958753065,"planetary_lord":"Jupiter"},{"name":"Hora 5","start":"10:58","end":"11:58","startHours":10.973116958753065,"endHours":11.973116958753065,"planetary_lord":"Saturn"},{"name":"Hora 6","start":"11:58","end":"12:58","startHours":11.973116958753065,"endHours":12.973116958753065,"planetary_lord":"Moon"},{"name":"Hora 7","start":"12:58","end":"13:58","startHours":12.973116958753065,"endHours":13.973116958753065,"planetary_lord":"Mercury"},{"name":"Hora 8","start":"13:58","end":"14:58","startHours":13.973116958753065,"endHours":14.973116958753065,"planetary_lord":"Venus"},{"name":"Hora 9","start":"14:58","end":"15:58","startHours":14.973116958753065,"endHours":15.973116958753065,"planetary_lord":"Sun"},{"name":"Hora 10","start":"15:58","end":"16:58","startHours":15.973116958753065,"endHours":16.973116958753067,"planetary_lord":"Mars"},{"name":"Hora 11","start":"16:58","end":"17:58","startHours":16.973116958753067,"endHours":17.973116958753067,"planetary_lord":"Jupiter"},{"name":"Hora 12","start":"17:58","end":"18:58","startHours":17.973116958753067,"endHours":18.973116958753067,"planetary_lord":"Saturn"},{"name":"Hora 13","start":"18:58","end":"19:58","startHours":18.973116958753067,"endHours":19.973116958753067,"planetary_lord":"Moon"},{"name":"Hora 14","start":"19:58","end":"20:58","startHours":19.973116958753067,"endHours":20.973116958753067,"planetary_lord":"Mercury"},{"name":"Hora 15","start":"20:58","end":"21:58","startHours":20.973116958753067,"endHours":21.973116958753067,"planetary_lord":"Venus"},{"name":"Hora 16","start":"21:58","end":"22:58","startHours":21.973116958753067,"endHours":22.973116958753067,"planetary_lord":"Sun"},{"name":"Hora 17","start":"22:58","end":"23:58","startHours":22.973116958753067,"endHours":23.973116958753067,"planetary_lord":"Mars"},{"name":"Hora 18","start":"23:58","end":"00:58","startHours":23.973116958753067,"endHours":24.973116958753067,"planetary_lord":"Jupiter"},{"name":"Hora 19","start":"00:58","end":"01:58","startHours":24.973116958753067,"endHours":25.973116958753067,"planetary_lord":"Saturn"},{"name":"Hora 20","start":"01:58","end":"02:58","startHours":25.973116958753067,"endHours":26.973116958753067,"planetary_lord":"Moon"},{"name":"Hora 21","start":"02:58","end":"03:58","startHours":26.973116958753067,"endHours":27.973116958753067,"planetary_lord":"Mercury"},{"name":"Hora 22","start":"03:58","end":"04:58","startHours":27.973116958753067,"endHours":28.973116958753067,"planetary_lord":"Venus"},{"name":"Hora 23","start":"04:58","end":"05:58","startHours":28.973116958753067,"endHours":29.973116958753067,"planetary_lord":"Sun"},{"name":"Hora 24","start":"05:58","end":"06:58","startHours":29.973116958753067,"endHours":30.973116958753067,"planetary_lord":"Mars"}],"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","Kanyā","Tulā","Dhanu","Kumbha"],"unfavorable_rashis":["Meṣa","Karka","Siṃha","Vṛścika","Makara","Mīna"]},"dishaShool":"West (Paścim)","chandraVasa":"East","rahuVasa":"South-East","anandadiYoga":{"name":"Maitra","quality":"Auspicious"},"tropicalRitu":"Hemanta (Pre-winter) (tropical)","vedicRitu":"Śarad (Autumn)","tropicalAyana":"Dakṣiṇāyana","vedicAyana":"Dakṣiṇāyana","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":-22.193977813859377,"eotMinutes":8.960824534103129,"ayanamsa":24.4666}},"calendars":{"vikram_samvat":2100,"vikram_samvatsara":"Dhātṛ","saka_samvat":1965,"saka_samvatsara":"Rudhirodgāri","bengali_samvat":1450,"malayalam_era":1219,"nanakshahi_year":574,"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":"Vṛścika (Kārttikai)","ritu":"Hemanta (Pre-winter)","display_summary":"Mārgaśīrṣa Śukla Tṛtīyā · Vikram 2100 Dhātṛ · Śaka 1965 Rudhirodgāri"},"festivals":[],"todays_walk":{"walk":{"id":"shukra-walk","name":"Śukra Walk","name_sanskrit":"शुक्र यात्रा","type":"graha","description":"Beauty + creativity in dharma + BG 10.36.","step_count":5,"url":"/walk/shukra-walk"},"reason":"Śukravāra (Friday) — 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 4, 2043 CE · Ṛṣikeśa · Vidhyamitra","description":"December 4, 2043 CE for Ṛṣikeśa: Śukla Tṛtīyā, sūryodaya 06:58, sūryāsta 17:18.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/rishikesh/2043-12-04","hreflang_alternates":{"en":"https://vidhyamitra.com/city/rishikesh/2043-12-04","sa":"https://sa.vidhyamitra.com/city/rishikesh/2043-12-04","hi":"https://hi.vidhyamitra.com/city/rishikesh/2043-12-04","x-default":"https://vidhyamitra.com/city/rishikesh/2043-12-04"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-06-01T14:19:56.044Z","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":"2026-06-01T14:19:56.044Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-06-01T14:19:56.044Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}