{"id":"vidhyamitra:city-day:rishikesh:2073-12-12:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/rishikesh/2073-12-12","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2073-12-12","date_display":"December 12, 2073 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":2073,"month":12,"day":12,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2478553.770833,"kali_year":5175,"ahargana":1890088.2708,"sun":{"sidereal_longitude":235.1345,"rashi":8,"rashi_name":"Vṛścika"},"moon":{"sidereal_longitude":25.5873,"rashi":1,"rashi_name":"Meṣa"},"tithi":{"number":13,"name":"Trayodaśī","paksha":"Śukla","full_name":"Śukla Trayodaśī","elongation_degrees":150.4528,"elapsed_within_tithi_degrees":6.4528},"nakshatra":{"number":2,"name":"Bharaṇī","pada":4,"moon_longitude":25.5873,"elapsed_within_degrees":12.254},"yoga":{"number":20,"name":"Śiva","sum_longitude":260.7218},"karana":{"half_tithi_index":25,"name":"Taitila"},"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":2073,"month":12,"day":12,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2478553.770833,"ahargana":1890088.2708,"kali_year":5175,"ayanamsa_lahiri":24.886,"grahas":{"sun":{"sidereal_longitude":235.72627699999998,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":3},"retrograde":false},"moon":{"sidereal_longitude":27.324377000000027,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":3,"name":"Kṛttikā","pada":1},"retrograde":false,"latitude":-4.4983},"mars":{"sidereal_longitude":126.307977,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":10,"name":"Maghā","pada":2},"retrograde":false},"mercury":{"sidereal_longitude":234.55827699999998,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":3},"retrograde":false},"jupiter":{"sidereal_longitude":107.03697699999998,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":9,"name":"Aśleṣā","pada":1},"retrograde":true},"venus":{"sidereal_longitude":232.27757699999995,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":2},"retrograde":false},"saturn":{"sidereal_longitude":215.00587700000005,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":17,"name":"Anurādhā","pada":1},"retrograde":false},"rahu":{"sidereal_longitude":114.0277,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":9,"name":"Āśleṣā","pada":3},"retrograde":false},"ketu":{"sidereal_longitude":294.0277,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","pada":1},"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":2073,"month":12,"day":12,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2478553.770833,"kali_year":5175,"ahargana":1890088.2708,"sun":{"sidereal_longitude":235.1345,"rashi":8,"rashi_name":"Vṛścika"},"moon":{"sidereal_longitude":25.5873,"rashi":1,"rashi_name":"Meṣa"},"tithi":{"number":13,"name":"Trayodaśī","paksha":"Śukla","full_name":"Śukla Trayodaśī","elongation_degrees":150.4528,"elapsed_within_tithi_degrees":6.4528},"nakshatra":{"number":2,"name":"Bharaṇī","pada":4,"moon_longitude":25.5873,"elapsed_within_degrees":12.254},"yoga":{"number":20,"name":"Śiva","sum_longitude":260.7218},"karana":{"half_tithi_index":25,"name":"Taitila"},"vara":{"number":4,"name":"Maṅgalavāra (Tuesday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-4.498,"elongation":150.453},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-4.498,"opposition_distance":29.547}},"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":"07:04","sunsetLocal":"17:18","solarNoonLocal":"12:11","dayLengthHours":10.23562716894116,"dayLengthDisplay":"10 Hours 14 Mins 08 Secs","nightLengthDisplay":"13 Hours 45 Mins 52 Secs","moonriseLocal":"15:31","moonsetLocal":"05:05","rahuKala":{"name":"Rāhu Kāla","start":"14:45","end":"16:02","startHours":14.748708641216739,"endHours":16.028162037334383,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"09:38","end":"10:55","startHours":9.630895056746159,"endHours":10.910348452863804,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"12:11","end":"13:28","startHours":12.18980184898145,"endHours":13.469255245099095,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:28","end":"09:48","startHours":9.460301270597139,"endHours":9.801488842895179,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"07:30","end":"07:46","startHours":7.498472729883417,"endHours":7.771422787721848,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:51","end":"12:32","startHours":11.84861427668341,"endHours":12.530989421279486,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"05:42","end":"06:23","startHours":5.707237975318714,"endHours":6.389613119914791,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"06:13","end":"07:04","startHours":6.219019333765772,"endHours":7.0719882645108685,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"13:54","end":"14:35","startHours":13.895739710471641,"endHours":14.578114855067719,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:06","end":"17:30","startHours":17.10761543345203,"endHours":17.507615433452028,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:18","end":"17:44","startHours":17.30761543345203,"endHours":17.734099898824578,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:03","end":"18:48","startHours":17.05761543345203,"endHours":18.80761543345203,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:51","end":"00:32","startHours":23.848614276683406,"endHours":24.530989421279486,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Roga","start":"07:04","end":"08:21","startHours":7.0719882645108685,"endHours":8.351441660628513,"quality":"inauspicious"},{"name":"Udveg","start":"08:21","end":"09:38","startHours":8.351441660628513,"endHours":9.630895056746159,"quality":"inauspicious"},{"name":"Chala","start":"09:38","end":"10:55","startHours":9.630895056746159,"endHours":10.910348452863804,"quality":"neutral"},{"name":"Labha","start":"10:55","end":"12:11","startHours":10.910348452863804,"endHours":12.18980184898145,"quality":"auspicious"},{"name":"Amṛta","start":"12:11","end":"13:28","startHours":12.18980184898145,"endHours":13.469255245099095,"quality":"auspicious"},{"name":"Kāla","start":"13:28","end":"14:45","startHours":13.469255245099095,"endHours":14.748708641216739,"quality":"inauspicious"},{"name":"Śubha","start":"14:45","end":"16:02","startHours":14.748708641216739,"endHours":16.028162037334383,"quality":"auspicious"},{"name":"Roga","start":"16:02","end":"17:18","startHours":16.028162037334383,"endHours":17.30761543345203,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Kāla","start":"17:18","end":"19:02","startHours":17.30761543345203,"endHours":19.028162037334383,"quality":"inauspicious"},{"name":"Śubha","start":"19:02","end":"20:45","startHours":19.028162037334383,"endHours":20.748708641216737,"quality":"auspicious"},{"name":"Roga","start":"20:45","end":"22:28","startHours":20.748708641216737,"endHours":22.46925524509909,"quality":"inauspicious"},{"name":"Udveg","start":"22:28","end":"00:11","startHours":22.46925524509909,"endHours":24.189801848981446,"quality":"inauspicious"},{"name":"Chala","start":"00:11","end":"01:55","startHours":24.189801848981446,"endHours":25.9103484528638,"quality":"neutral"},{"name":"Labha","start":"01:55","end":"03:38","startHours":25.9103484528638,"endHours":27.63089505674616,"quality":"auspicious"},{"name":"Amṛta","start":"03:38","end":"05:21","startHours":27.63089505674616,"endHours":29.351441660628513,"quality":"auspicious"},{"name":"Kāla","start":"05:21","end":"07:04","startHours":29.351441660628513,"endHours":31.071988264510868,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"07:04","end":"08:04","startHours":7.0719882645108685,"endHours":8.071988264510868,"planetary_lord":"Mars"},{"name":"Hora 2","start":"08:04","end":"09:04","startHours":8.071988264510868,"endHours":9.071988264510868,"planetary_lord":"Jupiter"},{"name":"Hora 3","start":"09:04","end":"10:04","startHours":9.071988264510868,"endHours":10.071988264510868,"planetary_lord":"Saturn"},{"name":"Hora 4","start":"10:04","end":"11:04","startHours":10.071988264510868,"endHours":11.071988264510868,"planetary_lord":"Moon"},{"name":"Hora 5","start":"11:04","end":"12:04","startHours":11.071988264510868,"endHours":12.071988264510868,"planetary_lord":"Mercury"},{"name":"Hora 6","start":"12:04","end":"13:04","startHours":12.071988264510868,"endHours":13.071988264510868,"planetary_lord":"Venus"},{"name":"Hora 7","start":"13:04","end":"14:04","startHours":13.071988264510868,"endHours":14.071988264510868,"planetary_lord":"Sun"},{"name":"Hora 8","start":"14:04","end":"15:04","startHours":14.071988264510868,"endHours":15.071988264510868,"planetary_lord":"Mars"},{"name":"Hora 9","start":"15:04","end":"16:04","startHours":15.071988264510868,"endHours":16.071988264510868,"planetary_lord":"Jupiter"},{"name":"Hora 10","start":"16:04","end":"17:04","startHours":16.071988264510868,"endHours":17.071988264510868,"planetary_lord":"Saturn"},{"name":"Hora 11","start":"17:04","end":"18:04","startHours":17.071988264510868,"endHours":18.071988264510868,"planetary_lord":"Moon"},{"name":"Hora 12","start":"18:04","end":"19:04","startHours":18.071988264510868,"endHours":19.071988264510868,"planetary_lord":"Mercury"},{"name":"Hora 13","start":"19:04","end":"20:04","startHours":19.071988264510868,"endHours":20.071988264510868,"planetary_lord":"Venus"},{"name":"Hora 14","start":"20:04","end":"21:04","startHours":20.071988264510868,"endHours":21.071988264510868,"planetary_lord":"Sun"},{"name":"Hora 15","start":"21:04","end":"22:04","startHours":21.071988264510868,"endHours":22.071988264510868,"planetary_lord":"Mars"},{"name":"Hora 16","start":"22:04","end":"23:04","startHours":22.071988264510868,"endHours":23.071988264510868,"planetary_lord":"Jupiter"},{"name":"Hora 17","start":"23:04","end":"00:04","startHours":23.071988264510868,"endHours":24.071988264510868,"planetary_lord":"Saturn"},{"name":"Hora 18","start":"00:04","end":"01:04","startHours":24.071988264510868,"endHours":25.071988264510868,"planetary_lord":"Moon"},{"name":"Hora 19","start":"01:04","end":"02:04","startHours":25.071988264510868,"endHours":26.071988264510868,"planetary_lord":"Mercury"},{"name":"Hora 20","start":"02:04","end":"03:04","startHours":26.071988264510868,"endHours":27.071988264510868,"planetary_lord":"Venus"},{"name":"Hora 21","start":"03:04","end":"04:04","startHours":27.071988264510868,"endHours":28.071988264510868,"planetary_lord":"Sun"},{"name":"Hora 22","start":"04:04","end":"05:04","startHours":28.071988264510868,"endHours":29.071988264510868,"planetary_lord":"Mars"},{"name":"Hora 23","start":"05:04","end":"06:04","startHours":29.071988264510868,"endHours":30.071988264510868,"planetary_lord":"Jupiter"},{"name":"Hora 24","start":"06:04","end":"07:04","startHours":30.071988264510868,"endHours":31.071988264510868,"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":["Meṣa","Mithuna","Kanyā","Tulā","Makara","Kumbha"],"unfavorable_rashis":["Vṛṣabha","Karka","Siṃha","Vṛścika","Dhanu","Mīna"]},"dishaShool":"North (Uttara)","chandraVasa":"East","rahuVasa":"North","anandadiYoga":{"name":"Mudgara","quality":"Inauspicious"},"tropicalRitu":"Hemanta (Pre-winter) (tropical)","vedicRitu":"Śarad (Autumn)","tropicalAyana":"Dakṣiṇāyana","vedicAyana":"Dakṣiṇāyana","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":-23.10427115069859,"eotMinutes":5.541489061113115,"ayanamsa":24.886}},"calendars":{"vikram_samvat":2130,"vikram_samvatsara":"Parābhava","saka_samvat":1995,"saka_samvatsara":"Vijaya","bengali_samvat":1480,"malayalam_era":1249,"nanakshahi_year":604,"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 Trayodaśī · Vikram 2130 Parābhava · Śaka 1995 Vijaya"},"festivals":[{"id":"pradosha-vrata","name":"Pradoṣa Vrata","name_sanskrit":"प्रदोष व्रत","tradition":"Shaiva","associated_deity":"Śiva","significance":"Twilight worship of Śiva on Trayodaśī.","vrata":true,"detection":{"any_of":[{"tithi_number":13},{"tithi_number":28}]},"precedence":7}],"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 12, 2073 CE · Ṛṣikeśa · Vidhyamitra","description":"December 12, 2073 CE for Ṛṣikeśa: Śukla Trayodaśī, sūryodaya 07:04, sūryāsta 17:18.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/rishikesh/2073-12-12","hreflang_alternates":{"en":"https://vidhyamitra.com/city/rishikesh/2073-12-12","sa":"https://sa.vidhyamitra.com/city/rishikesh/2073-12-12","hi":"https://hi.vidhyamitra.com/city/rishikesh/2073-12-12","x-default":"https://vidhyamitra.com/city/rishikesh/2073-12-12"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-06-01T08:07:37.600Z","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":"2026-06-01T08:07:37.600Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-06-01T08:07:37.600Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}