{"id":"vidhyamitra:city-day:rishikesh:2026-12-13:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/rishikesh/2026-12-13","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2026-12-13","date_display":"December 13, 2026 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":2026,"month":12,"day":13,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2461387.770833,"kali_year":5128,"ahargana":1872922.2708,"sun":{"sidereal_longitude":236.3252,"rashi":8,"rashi_name":"Vṛścika"},"moon":{"sidereal_longitude":283.3795,"rashi":10,"rashi_name":"Makara"},"tithi":{"number":4,"name":"Caturthī","paksha":"Śukla","full_name":"Śukla Caturthī","elongation_degrees":47.0543,"elapsed_within_tithi_degrees":11.0543},"nakshatra":{"number":22,"name":"Śravaṇa","pada":2,"moon_longitude":283.3795,"elapsed_within_degrees":3.3795},"yoga":{"number":12,"name":"Dhruva","sum_longitude":159.7047},"karana":{"half_tithi_index":7,"name":"Viṣṭi"},"vara":{"number":2,"name":"Ravivāra (Sunday)"}},"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":2026,"month":12,"day":13,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2461387.770833,"ahargana":1872922.2708,"kali_year":5128,"ayanamsa_lahiri":24.2294,"grahas":{"sun":{"sidereal_longitude":236.79564400000004,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":4},"retrograde":false},"moon":{"sidereal_longitude":280.20374400000003,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":22,"name":"Śravaṇa","pada":1},"retrograde":false,"latitude":-1.5514},"mars":{"sidereal_longitude":131.322544,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":10,"name":"Maghā","pada":4},"retrograde":false},"mercury":{"sidereal_longitude":225.53274399999998,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":17,"name":"Anurādhā","pada":4},"retrograde":false},"jupiter":{"sidereal_longitude":122.57304399999998,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":10,"name":"Maghā","pada":1},"retrograde":false},"venus":{"sidereal_longitude":191.623244,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":15,"name":"Svātī","pada":2},"retrograde":false},"saturn":{"sidereal_longitude":343.760544,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":26,"name":"Uttara Bhādrapadā","pada":4},"retrograde":false},"rahu":{"sidereal_longitude":303.565,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","pada":4},"retrograde":false},"ketu":{"sidereal_longitude":123.565,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":10,"name":"Maghā","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":2026,"month":12,"day":13,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2461387.770833,"kali_year":5128,"ahargana":1872922.2708,"sun":{"sidereal_longitude":236.3252,"rashi":8,"rashi_name":"Vṛścika"},"moon":{"sidereal_longitude":283.3795,"rashi":10,"rashi_name":"Makara"},"tithi":{"number":4,"name":"Caturthī","paksha":"Śukla","full_name":"Śukla Caturthī","elongation_degrees":47.0543,"elapsed_within_tithi_degrees":11.0543},"nakshatra":{"number":22,"name":"Śravaṇa","pada":2,"moon_longitude":283.3795,"elapsed_within_degrees":3.3795},"yoga":{"number":12,"name":"Dhruva","sum_longitude":159.7047},"karana":{"half_tithi_index":7,"name":"Viṣṭi"},"vara":{"number":2,"name":"Ravivāra (Sunday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-1.551,"elongation":47.054},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-1.551,"opposition_distance":132.946}},"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":"07:05","sunsetLocal":"17:19","solarNoonLocal":"12:12","dayLengthHours":10.232985267241325,"dayLengthDisplay":"10 Hours 13 Mins 59 Secs","nightLengthDisplay":"13 Hours 46 Mins 01 Secs","moonriseLocal":"09:49","moonsetLocal":"20:22","rahuKala":{"name":"Rāhu Kāla","start":"16:02","end":"17:19","startHours":16.03468530439186,"endHours":17.313808462797027,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"12:12","end":"13:29","startHours":12.197315829176365,"endHours":13.476438987581531,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"14:45","end":"16:02","startHours":14.755562145986698,"endHours":16.03468530439186,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:28","end":"09:49","startHours":9.468519757912013,"endHours":9.809619266820057,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"07:30","end":"07:47","startHours":7.507197581690758,"endHours":7.780077188817193,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:51","end":"12:32","startHours":11.85621632026832,"endHours":12.538415338084409,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"05:43","end":"06:24","startHours":5.716425159923526,"endHours":6.398624177739615,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"06:14","end":"07:05","startHours":6.228074423285593,"endHours":7.080823195555703,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"13:54","end":"14:35","startHours":13.902813373716587,"endHours":14.585012391532675,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:07","end":"17:31","startHours":17.113808462797028,"endHours":17.513808462797027,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:19","end":"17:44","startHours":17.313808462797027,"endHours":17.740182848932083,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:04","end":"18:49","startHours":17.063808462797027,"endHours":18.813808462797027,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:51","end":"00:32","startHours":23.85621632026832,"endHours":24.53841533808441,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Udveg","start":"07:05","end":"08:22","startHours":7.080823195555703,"endHours":8.359946353960868,"quality":"inauspicious"},{"name":"Chala","start":"08:22","end":"09:38","startHours":8.359946353960868,"endHours":9.639069512366035,"quality":"neutral"},{"name":"Labha","start":"09:38","end":"10:55","startHours":9.639069512366035,"endHours":10.9181926707712,"quality":"auspicious"},{"name":"Amṛta","start":"10:55","end":"12:12","startHours":10.9181926707712,"endHours":12.197315829176365,"quality":"auspicious"},{"name":"Kāla","start":"12:12","end":"13:29","startHours":12.197315829176365,"endHours":13.476438987581531,"quality":"inauspicious"},{"name":"Śubha","start":"13:29","end":"14:45","startHours":13.476438987581531,"endHours":14.755562145986698,"quality":"auspicious"},{"name":"Roga","start":"14:45","end":"16:02","startHours":14.755562145986698,"endHours":16.03468530439186,"quality":"inauspicious"},{"name":"Udveg","start":"16:02","end":"17:19","startHours":16.03468530439186,"endHours":17.313808462797027,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Śubha","start":"17:19","end":"19:02","startHours":17.313808462797027,"endHours":19.03468530439186,"quality":"auspicious"},{"name":"Roga","start":"19:02","end":"20:45","startHours":19.03468530439186,"endHours":20.755562145986694,"quality":"inauspicious"},{"name":"Udveg","start":"20:45","end":"22:29","startHours":20.755562145986694,"endHours":22.47643898758153,"quality":"inauspicious"},{"name":"Chala","start":"22:29","end":"00:12","startHours":22.47643898758153,"endHours":24.197315829176365,"quality":"neutral"},{"name":"Labha","start":"00:12","end":"01:55","startHours":24.197315829176365,"endHours":25.918192670771198,"quality":"auspicious"},{"name":"Amṛta","start":"01:55","end":"03:38","startHours":25.918192670771198,"endHours":27.639069512366035,"quality":"auspicious"},{"name":"Kāla","start":"03:38","end":"05:22","startHours":27.639069512366035,"endHours":29.35994635396087,"quality":"inauspicious"},{"name":"Śubha","start":"05:22","end":"07:05","startHours":29.35994635396087,"endHours":31.080823195555702,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"07:05","end":"08:05","startHours":7.080823195555703,"endHours":8.080823195555702,"planetary_lord":"Sun"},{"name":"Hora 2","start":"08:05","end":"09:05","startHours":8.080823195555702,"endHours":9.080823195555702,"planetary_lord":"Mars"},{"name":"Hora 3","start":"09:05","end":"10:05","startHours":9.080823195555702,"endHours":10.080823195555702,"planetary_lord":"Jupiter"},{"name":"Hora 4","start":"10:05","end":"11:05","startHours":10.080823195555702,"endHours":11.080823195555702,"planetary_lord":"Saturn"},{"name":"Hora 5","start":"11:05","end":"12:05","startHours":11.080823195555702,"endHours":12.080823195555702,"planetary_lord":"Moon"},{"name":"Hora 6","start":"12:05","end":"13:05","startHours":12.080823195555702,"endHours":13.080823195555702,"planetary_lord":"Mercury"},{"name":"Hora 7","start":"13:05","end":"14:05","startHours":13.080823195555702,"endHours":14.080823195555702,"planetary_lord":"Venus"},{"name":"Hora 8","start":"14:05","end":"15:05","startHours":14.080823195555702,"endHours":15.080823195555702,"planetary_lord":"Sun"},{"name":"Hora 9","start":"15:05","end":"16:05","startHours":15.080823195555702,"endHours":16.080823195555702,"planetary_lord":"Mars"},{"name":"Hora 10","start":"16:05","end":"17:05","startHours":16.080823195555702,"endHours":17.080823195555702,"planetary_lord":"Jupiter"},{"name":"Hora 11","start":"17:05","end":"18:05","startHours":17.080823195555702,"endHours":18.080823195555702,"planetary_lord":"Saturn"},{"name":"Hora 12","start":"18:05","end":"19:05","startHours":18.080823195555702,"endHours":19.080823195555702,"planetary_lord":"Moon"},{"name":"Hora 13","start":"19:05","end":"20:05","startHours":19.080823195555702,"endHours":20.080823195555702,"planetary_lord":"Mercury"},{"name":"Hora 14","start":"20:05","end":"21:05","startHours":20.080823195555702,"endHours":21.080823195555702,"planetary_lord":"Venus"},{"name":"Hora 15","start":"21:05","end":"22:05","startHours":21.080823195555702,"endHours":22.080823195555702,"planetary_lord":"Sun"},{"name":"Hora 16","start":"22:05","end":"23:05","startHours":22.080823195555702,"endHours":23.080823195555702,"planetary_lord":"Mars"},{"name":"Hora 17","start":"23:05","end":"00:05","startHours":23.080823195555702,"endHours":24.080823195555702,"planetary_lord":"Jupiter"},{"name":"Hora 18","start":"00:05","end":"01:05","startHours":24.080823195555702,"endHours":25.080823195555702,"planetary_lord":"Saturn"},{"name":"Hora 19","start":"01:05","end":"02:05","startHours":25.080823195555702,"endHours":26.080823195555702,"planetary_lord":"Moon"},{"name":"Hora 20","start":"02:05","end":"03:05","startHours":26.080823195555702,"endHours":27.080823195555702,"planetary_lord":"Mercury"},{"name":"Hora 21","start":"03:05","end":"04:05","startHours":27.080823195555702,"endHours":28.080823195555702,"planetary_lord":"Venus"},{"name":"Hora 22","start":"04:05","end":"05:05","startHours":28.080823195555702,"endHours":29.080823195555702,"planetary_lord":"Sun"},{"name":"Hora 23","start":"05:05","end":"06:05","startHours":29.080823195555702,"endHours":30.080823195555702,"planetary_lord":"Mars"},{"name":"Hora 24","start":"06:05","end":"07:05","startHours":30.080823195555702,"endHours":31.080823195555702,"planetary_lord":"Jupiter"}],"taraBala":{"favorable_nakshatras":["Mṛgaśirā","Ārdrā","Punarvasu","Puṣya","Aśleṣā","Citrā","Svātī","Viśākhā","Anurādhā","Jyeṣṭhā","Dhaniṣṭhā","Śatabhiṣaj","Pūrva Bhādrapadā","Uttara Bhādrapadā","Revatī"],"unfavorable_nakshatras":["Aśvinī","Bharaṇī","Kṛttikā","Rohiṇī","Maghā","Pūrva Phalgunī","Uttara Phalgunī","Hasta","Mūla","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Śravaṇa"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Mithuna","Karka","Tulā","Vṛścika","Makara","Mīna"],"unfavorable_rashis":["Meṣa","Vṛṣabha","Siṃha","Kanyā","Dhanu","Kumbha"]},"dishaShool":"West (Paścim)","chandraVasa":"South-East","rahuVasa":"North-East","anandadiYoga":{"name":"Mausala","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":-23.132753417888036,"eotMinutes":5.090650249418121,"ayanamsa":24.2294}},"calendars":{"vikram_samvat":2083,"vikram_samvatsara":"Siddhārthī","saka_samvat":1948,"saka_samvatsara":"Parābhava","bengali_samvat":1433,"malayalam_era":1202,"nanakshahi_year":557,"lunar_month":"Mārgaśīrṣa","lunar_month_paksha_full":"Mārgaśīrṣa Śukla Pakṣa","solar_month":"Vṛścika (Kārttikai)","ritu":"Hemanta (Pre-winter)","display_summary":"Mārgaśīrṣa Śukla Caturthī · Vikram 2083 Siddhārthī · Śaka 1948 Parābhava"},"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":"vinayaka-chaturthi","name":"Vināyaka Caturthī (monthly)","name_sanskrit":"विनायक चतुर्थी","tradition":"Pan-Hindu","associated_deity":"Gaṇeśa","significance":"Monthly Śukla-pakṣa Caturthī; auspicious for new ventures.","vrata":true,"detection":{"tithi_number":4,"tithi_paksha":"Śukla"},"precedence":6}],"todays_walk":{"walk":{"id":"surya-walk","name":"Sūrya Walk","name_sanskrit":"सूर्य यात्रा","type":"graha","description":"Self-illumination + BG 4.1 (Sun-lineage of Gītā transmission).","step_count":6,"url":"/walk/surya-walk"},"reason":"Ravivāra (Sunday) — 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 13, 2026 CE · Ṛṣikeśa · Vidhyamitra","description":"December 13, 2026 CE for Ṛṣikeśa: Śukla Caturthī, sūryodaya 07:05, sūryāsta 17:19.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/rishikesh/2026-12-13","hreflang_alternates":{"en":"https://vidhyamitra.com/city/rishikesh/2026-12-13","sa":"https://sa.vidhyamitra.com/city/rishikesh/2026-12-13","hi":"https://hi.vidhyamitra.com/city/rishikesh/2026-12-13","x-default":"https://vidhyamitra.com/city/rishikesh/2026-12-13"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-14T19:52:35.904Z","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":"2026-05-14T19:52:35.904Z","verification":{"type":"community-validated","markers":["matches Drikpanchang ±1 minute on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-14T19:52:35.904Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}