{"id":"vidhyamitra:city-day:rishikesh:2117-12-07:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/rishikesh/2117-12-07","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2117-12-07","date_display":"December 7, 2117 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":2117,"month":12,"day":7,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2494618.770833,"kali_year":5219,"ahargana":1906153.2708,"sun":{"sidereal_longitude":228.5964,"rashi":8,"rashi_name":"Vṛścika"},"moon":{"sidereal_longitude":23.0308,"rashi":1,"rashi_name":"Meṣa"},"tithi":{"number":13,"name":"Trayodaśī","paksha":"Śukla","full_name":"Śukla Trayodaśī","elongation_degrees":154.4343,"elapsed_within_tithi_degrees":10.4343},"nakshatra":{"number":2,"name":"Bharaṇī","pada":3,"moon_longitude":23.0308,"elapsed_within_degrees":9.6974},"yoga":{"number":19,"name":"Parigha","sum_longitude":251.6272},"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":2117,"month":12,"day":7,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2494618.770833,"ahargana":1906153.2708,"kali_year":5219,"ayanamsa_lahiri":25.5004,"grahas":{"sun":{"sidereal_longitude":229.346176,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":1},"retrograde":false},"moon":{"sidereal_longitude":24.59517599999998,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":2,"name":"Bharaṇī","pada":4},"retrograde":false,"latitude":2.9031},"mars":{"sidereal_longitude":217.68667600000003,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":17,"name":"Anurādhā","pada":2},"retrograde":false},"mercury":{"sidereal_longitude":207.41227600000002,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":16,"name":"Viśākhā","pada":3},"retrograde":false},"jupiter":{"sidereal_longitude":336.731176,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":26,"name":"Uttara Bhādrapadā","pada":2},"retrograde":false},"venus":{"sidereal_longitude":234.29837599999996,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":3},"retrograde":true},"saturn":{"sidereal_longitude":19.77187600000002,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":2,"name":"Bharaṇī","pada":2},"retrograde":true},"rahu":{"sidereal_longitude":342.8267,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":26,"name":"Uttara Bhādrapadā","pada":3},"retrograde":false},"ketu":{"sidereal_longitude":162.8267,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":13,"name":"Hasta","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":2117,"month":12,"day":7,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2494618.770833,"kali_year":5219,"ahargana":1906153.2708,"sun":{"sidereal_longitude":228.5964,"rashi":8,"rashi_name":"Vṛścika"},"moon":{"sidereal_longitude":23.0308,"rashi":1,"rashi_name":"Meṣa"},"tithi":{"number":13,"name":"Trayodaśī","paksha":"Śukla","full_name":"Śukla Trayodaśī","elongation_degrees":154.4343,"elapsed_within_tithi_degrees":10.4343},"nakshatra":{"number":2,"name":"Bharaṇī","pada":3,"moon_longitude":23.0308,"elapsed_within_degrees":9.6974},"yoga":{"number":19,"name":"Parigha","sum_longitude":251.6272},"karana":{"half_tithi_index":25,"name":"Taitila"},"vara":{"number":4,"name":"Maṅgalavāra (Tuesday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":2.903,"elongation":154.434},"lunar":{"type":"lunar","occurs":false,"moon_latitude":2.903,"opposition_distance":25.566}},"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":"07:01","sunsetLocal":"17:18","solarNoonLocal":"12:09","dayLengthHours":10.284426300368184,"dayLengthDisplay":"10 Hours 17 Mins 04 Secs","nightLengthDisplay":"13 Hours 42 Mins 56 Secs","moonriseLocal":"15:45","moonsetLocal":"05:16","rahuKala":{"name":"Rāhu Kāla","start":"14:43","end":"16:01","startHours":14.724538299703092,"endHours":16.010091587249114,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"09:35","end":"10:52","startHours":9.582325149518999,"endHours":10.867878437065023,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"12:09","end":"13:26","startHours":12.153431724611046,"endHours":13.438985012157069,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:25","end":"09:45","startHours":9.410918044512863,"endHours":9.753732254525136,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"07:26","end":"07:43","startHours":7.439736336942294,"endHours":7.713987704952113,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:49","end":"12:30","startHours":11.810617514598773,"endHours":12.49624593462332,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"05:38","end":"06:20","startHours":5.639961734377862,"endHours":6.325590154402408,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"06:09","end":"07:01","startHours":6.154183049396272,"endHours":7.0112185744269535,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"13:52","end":"14:33","startHours":13.86750277467241,"endHours":14.553131194696956,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:06","end":"17:30","startHours":17.095644874795138,"endHours":17.495644874795136,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:18","end":"17:43","startHours":17.295644874795137,"endHours":17.724162637310478,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:03","end":"18:48","startHours":17.045644874795137,"endHours":18.795644874795137,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:49","end":"00:30","startHours":23.810617514598775,"endHours":24.496245934623317,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Roga","start":"07:01","end":"08:18","startHours":7.0112185744269535,"endHours":8.296771861972976,"quality":"inauspicious"},{"name":"Udveg","start":"08:18","end":"09:35","startHours":8.296771861972976,"endHours":9.582325149518999,"quality":"inauspicious"},{"name":"Chala","start":"09:35","end":"10:52","startHours":9.582325149518999,"endHours":10.867878437065023,"quality":"neutral"},{"name":"Labha","start":"10:52","end":"12:09","startHours":10.867878437065023,"endHours":12.153431724611046,"quality":"auspicious"},{"name":"Amṛta","start":"12:09","end":"13:26","startHours":12.153431724611046,"endHours":13.438985012157069,"quality":"auspicious"},{"name":"Kāla","start":"13:26","end":"14:43","startHours":13.438985012157069,"endHours":14.724538299703092,"quality":"inauspicious"},{"name":"Śubha","start":"14:43","end":"16:01","startHours":14.724538299703092,"endHours":16.010091587249114,"quality":"auspicious"},{"name":"Roga","start":"16:01","end":"17:18","startHours":16.010091587249114,"endHours":17.295644874795137,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Kāla","start":"17:18","end":"19:01","startHours":17.295644874795137,"endHours":19.010091587249114,"quality":"inauspicious"},{"name":"Śubha","start":"19:01","end":"20:43","startHours":19.010091587249114,"endHours":20.72453829970309,"quality":"auspicious"},{"name":"Roga","start":"20:43","end":"22:26","startHours":20.72453829970309,"endHours":22.43898501215707,"quality":"inauspicious"},{"name":"Udveg","start":"22:26","end":"00:09","startHours":22.43898501215707,"endHours":24.153431724611046,"quality":"inauspicious"},{"name":"Chala","start":"00:09","end":"01:52","startHours":24.153431724611046,"endHours":25.867878437065023,"quality":"neutral"},{"name":"Labha","start":"01:52","end":"03:35","startHours":25.867878437065023,"endHours":27.582325149519,"quality":"auspicious"},{"name":"Amṛta","start":"03:35","end":"05:18","startHours":27.582325149519,"endHours":29.296771861972978,"quality":"auspicious"},{"name":"Kāla","start":"05:18","end":"07:01","startHours":29.296771861972978,"endHours":31.011218574426955,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"07:01","end":"08:01","startHours":7.0112185744269535,"endHours":8.011218574426954,"planetary_lord":"Mars"},{"name":"Hora 2","start":"08:01","end":"09:01","startHours":8.011218574426954,"endHours":9.011218574426954,"planetary_lord":"Jupiter"},{"name":"Hora 3","start":"09:01","end":"10:01","startHours":9.011218574426954,"endHours":10.011218574426954,"planetary_lord":"Saturn"},{"name":"Hora 4","start":"10:01","end":"11:01","startHours":10.011218574426954,"endHours":11.011218574426954,"planetary_lord":"Moon"},{"name":"Hora 5","start":"11:01","end":"12:01","startHours":11.011218574426954,"endHours":12.011218574426954,"planetary_lord":"Mercury"},{"name":"Hora 6","start":"12:01","end":"13:01","startHours":12.011218574426954,"endHours":13.011218574426954,"planetary_lord":"Venus"},{"name":"Hora 7","start":"13:01","end":"14:01","startHours":13.011218574426954,"endHours":14.011218574426954,"planetary_lord":"Sun"},{"name":"Hora 8","start":"14:01","end":"15:01","startHours":14.011218574426954,"endHours":15.011218574426954,"planetary_lord":"Mars"},{"name":"Hora 9","start":"15:01","end":"16:01","startHours":15.011218574426954,"endHours":16.011218574426955,"planetary_lord":"Jupiter"},{"name":"Hora 10","start":"16:01","end":"17:01","startHours":16.011218574426955,"endHours":17.011218574426955,"planetary_lord":"Saturn"},{"name":"Hora 11","start":"17:01","end":"18:01","startHours":17.011218574426955,"endHours":18.011218574426955,"planetary_lord":"Moon"},{"name":"Hora 12","start":"18:01","end":"19:01","startHours":18.011218574426955,"endHours":19.011218574426955,"planetary_lord":"Mercury"},{"name":"Hora 13","start":"19:01","end":"20:01","startHours":19.011218574426955,"endHours":20.011218574426955,"planetary_lord":"Venus"},{"name":"Hora 14","start":"20:01","end":"21:01","startHours":20.011218574426955,"endHours":21.011218574426955,"planetary_lord":"Sun"},{"name":"Hora 15","start":"21:01","end":"22:01","startHours":21.011218574426955,"endHours":22.011218574426955,"planetary_lord":"Mars"},{"name":"Hora 16","start":"22:01","end":"23:01","startHours":22.011218574426955,"endHours":23.011218574426955,"planetary_lord":"Jupiter"},{"name":"Hora 17","start":"23:01","end":"00:01","startHours":23.011218574426955,"endHours":24.011218574426955,"planetary_lord":"Saturn"},{"name":"Hora 18","start":"00:01","end":"01:01","startHours":24.011218574426955,"endHours":25.011218574426955,"planetary_lord":"Moon"},{"name":"Hora 19","start":"01:01","end":"02:01","startHours":25.011218574426955,"endHours":26.011218574426955,"planetary_lord":"Mercury"},{"name":"Hora 20","start":"02:01","end":"03:01","startHours":26.011218574426955,"endHours":27.011218574426955,"planetary_lord":"Venus"},{"name":"Hora 21","start":"03:01","end":"04:01","startHours":27.011218574426955,"endHours":28.011218574426955,"planetary_lord":"Sun"},{"name":"Hora 22","start":"04:01","end":"05:01","startHours":28.011218574426955,"endHours":29.011218574426955,"planetary_lord":"Mars"},{"name":"Hora 23","start":"05:01","end":"06:01","startHours":29.011218574426955,"endHours":30.011218574426955,"planetary_lord":"Jupiter"},{"name":"Hora 24","start":"06:01","end":"07:01","startHours":30.011218574426955,"endHours":31.011218574426955,"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"},"drikRitu":"Hemanta (Pre-winter) (Drik)","vedicRitu":"Śarad (Autumn)","drikAyana":"Dakṣiṇāyana","vedicAyana":"Dakṣiṇāyana","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization (Drikpanchang-parity)","declination":-22.575655845244672,"eotMinutes":7.723696523337262,"ayanamsa":25.5004}},"calendars":{"vikram_samvat":2174,"vikram_samvatsara":"Vikṛti","saka_samvat":2039,"saka_samvatsara":"Īśvara","bengali_samvat":1524,"malayalam_era":1293,"nanakshahi_year":648,"lunar_month":"Mārgaśīrṣa","lunar_month_paksha_full":"Mārgaśīrṣa Śukla Pakṣa","solar_month":"Vṛścika (Kārttikai)","ritu":"Hemanta (Pre-winter)","display_summary":"Mārgaśīrṣa Śukla Trayodaśī · Vikram 2174 Vikṛti · Śaka 2039 Īśvara"},"festivals":[{"id":"vrischika-sankranti","name":"Vṛścika Saṅkrānti","name_sanskrit":"वृश्चिक सङ्क्रान्ति","tradition":"Pan-Hindu","significance":"Sun enters Scorpio.","vrata":false,"detection":{"sun_rashi":"Vṛścika"},"precedence":5},{"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 7, 2117 CE · Ṛṣikeśa · Vidhyamitra","description":"December 7, 2117 CE for Ṛṣikeśa: Śukla Trayodaśī, sūryodaya 07:01, sūryāsta 17:18.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/rishikesh/2117-12-07","hreflang_alternates":{"en":"https://vidhyamitra.com/city/rishikesh/2117-12-07","sa":"https://sa.vidhyamitra.com/city/rishikesh/2117-12-07","hi":"https://hi.vidhyamitra.com/city/rishikesh/2117-12-07","x-default":"https://vidhyamitra.com/city/rishikesh/2117-12-07"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-22T02:07:38.641Z","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":"2026-05-22T02:07:38.641Z","verification":{"type":"community-validated","markers":["matches Drikpanchang ±1 minute on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-22T02:07:38.641Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}