{"id":"vidhyamitra:city-day:rishikesh:2093-12-13:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/rishikesh/2093-12-13","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2093-12-13","date_display":"December 13, 2093 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":2093,"month":12,"day":13,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2485859.770833,"kali_year":5195,"ahargana":1897394.2708,"sun":{"sidereal_longitude":235.98,"rashi":8,"rashi_name":"Vṛścika"},"moon":{"sidereal_longitude":170.0282,"rashi":6,"rashi_name":"Kanyā"},"tithi":{"number":25,"name":"Daśamī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Daśamī","elongation_degrees":294.0482,"elapsed_within_tithi_degrees":6.0482},"nakshatra":{"number":13,"name":"Hasta","pada":4,"moon_longitude":170.0282,"elapsed_within_degrees":10.0282},"yoga":{"number":4,"name":"Saubhāgya","sum_longitude":46.0083},"karana":{"half_tithi_index":49,"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":2093,"month":12,"day":13,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2485859.770833,"ahargana":1897394.2708,"kali_year":5195,"ayanamsa_lahiri":25.1654,"grahas":{"sun":{"sidereal_longitude":236.61163399999998,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":3},"retrograde":false},"moon":{"sidereal_longitude":168.34923400000002,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":13,"name":"Hasta","pada":3},"retrograde":false,"latitude":4.4674},"mars":{"sidereal_longitude":281.42923399999995,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":22,"name":"Śravaṇa","pada":1},"retrograde":false},"mercury":{"sidereal_longitude":238.91713400000003,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":4},"retrograde":false},"jupiter":{"sidereal_longitude":327.92973400000005,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":25,"name":"Pūrva Bhādrapadā","pada":3},"retrograde":false},"venus":{"sidereal_longitude":242.646834,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":1},"retrograde":true},"saturn":{"sidereal_longitude":101.17803400000003,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":8,"name":"Puṣya","pada":3},"retrograde":true},"rahu":{"sidereal_longitude":86.9206,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":7,"name":"Punarvasu","pada":3},"retrograde":false},"ketu":{"sidereal_longitude":266.9206,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","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":2093,"month":12,"day":13,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2485859.770833,"kali_year":5195,"ahargana":1897394.2708,"sun":{"sidereal_longitude":235.98,"rashi":8,"rashi_name":"Vṛścika"},"moon":{"sidereal_longitude":170.0282,"rashi":6,"rashi_name":"Kanyā"},"tithi":{"number":25,"name":"Daśamī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Daśamī","elongation_degrees":294.0482,"elapsed_within_tithi_degrees":6.0482},"nakshatra":{"number":13,"name":"Hasta","pada":4,"moon_longitude":170.0282,"elapsed_within_degrees":10.0282},"yoga":{"number":4,"name":"Saubhāgya","sum_longitude":46.0083},"karana":{"half_tithi_index":49,"name":"Viṣṭi"},"vara":{"number":2,"name":"Ravivāra (Sunday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":4.467,"elongation":65.952},"lunar":{"type":"lunar","occurs":false,"moon_latitude":4.467,"opposition_distance":114.048}},"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":10.22847081617482,"dayLengthDisplay":"10 Hours 13 Mins 42 Secs","nightLengthDisplay":"13 Hours 46 Mins 18 Secs","moonriseLocal":"01:48","moonsetLocal":"13:29","rahuKala":{"name":"Rāhu Kāla","start":"16:02","end":"17:19","startHours":16.032992385241922,"endHours":17.311551237263775,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"12:12","end":"13:29","startHours":12.197315829176365,"endHours":13.475874681198217,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"14:45","end":"16:02","startHours":14.75443353322007,"endHours":16.032992385241922,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:28","end":"09:49","startHours":9.469723611529748,"endHours":9.810672638735575,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"07:31","end":"07:47","startHours":7.509266705096239,"endHours":7.782025926860901,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:51","end":"12:32","startHours":11.856366801970537,"endHours":12.538264856382192,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"05:43","end":"06:24","startHours":5.719284312265646,"endHours":6.4011823666773005,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"06:14","end":"07:05","startHours":6.230707853074387,"endHours":7.0830804210889555,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"13:54","end":"14:35","startHours":13.902060965205502,"endHours":14.583959019617156,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:07","end":"17:31","startHours":17.111551237263775,"endHours":17.511551237263774,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:19","end":"17:44","startHours":17.311551237263775,"endHours":17.737737521271058,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:04","end":"18:49","startHours":17.061551237263775,"endHours":18.811551237263775,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:51","end":"00:32","startHours":23.856366801970537,"endHours":24.53826485638219,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Udveg","start":"07:05","end":"08:22","startHours":7.0830804210889555,"endHours":8.361639273110807,"quality":"inauspicious"},{"name":"Chala","start":"08:22","end":"09:38","startHours":8.361639273110807,"endHours":9.64019812513266,"quality":"neutral"},{"name":"Labha","start":"09:38","end":"10:55","startHours":9.64019812513266,"endHours":10.918756977154512,"quality":"auspicious"},{"name":"Amṛta","start":"10:55","end":"12:12","startHours":10.918756977154512,"endHours":12.197315829176365,"quality":"auspicious"},{"name":"Kāla","start":"12:12","end":"13:29","startHours":12.197315829176365,"endHours":13.475874681198217,"quality":"inauspicious"},{"name":"Śubha","start":"13:29","end":"14:45","startHours":13.475874681198217,"endHours":14.75443353322007,"quality":"auspicious"},{"name":"Roga","start":"14:45","end":"16:02","startHours":14.75443353322007,"endHours":16.032992385241922,"quality":"inauspicious"},{"name":"Udveg","start":"16:02","end":"17:19","startHours":16.032992385241922,"endHours":17.311551237263775,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Śubha","start":"17:19","end":"19:02","startHours":17.311551237263775,"endHours":19.032992385241922,"quality":"auspicious"},{"name":"Roga","start":"19:02","end":"20:45","startHours":19.032992385241922,"endHours":20.75443353322007,"quality":"inauspicious"},{"name":"Udveg","start":"20:45","end":"22:29","startHours":20.75443353322007,"endHours":22.475874681198217,"quality":"inauspicious"},{"name":"Chala","start":"22:29","end":"00:12","startHours":22.475874681198217,"endHours":24.197315829176365,"quality":"neutral"},{"name":"Labha","start":"00:12","end":"01:55","startHours":24.197315829176365,"endHours":25.918756977154512,"quality":"auspicious"},{"name":"Amṛta","start":"01:55","end":"03:38","startHours":25.918756977154512,"endHours":27.64019812513266,"quality":"auspicious"},{"name":"Kāla","start":"03:38","end":"05:22","startHours":27.64019812513266,"endHours":29.361639273110807,"quality":"inauspicious"},{"name":"Śubha","start":"05:22","end":"07:05","startHours":29.361639273110807,"endHours":31.083080421088955,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"07:05","end":"08:05","startHours":7.0830804210889555,"endHours":8.083080421088955,"planetary_lord":"Sun"},{"name":"Hora 2","start":"08:05","end":"09:05","startHours":8.083080421088955,"endHours":9.083080421088955,"planetary_lord":"Mars"},{"name":"Hora 3","start":"09:05","end":"10:05","startHours":9.083080421088955,"endHours":10.083080421088955,"planetary_lord":"Jupiter"},{"name":"Hora 4","start":"10:05","end":"11:05","startHours":10.083080421088955,"endHours":11.083080421088955,"planetary_lord":"Saturn"},{"name":"Hora 5","start":"11:05","end":"12:05","startHours":11.083080421088955,"endHours":12.083080421088955,"planetary_lord":"Moon"},{"name":"Hora 6","start":"12:05","end":"13:05","startHours":12.083080421088955,"endHours":13.083080421088955,"planetary_lord":"Mercury"},{"name":"Hora 7","start":"13:05","end":"14:05","startHours":13.083080421088955,"endHours":14.083080421088955,"planetary_lord":"Venus"},{"name":"Hora 8","start":"14:05","end":"15:05","startHours":14.083080421088955,"endHours":15.083080421088955,"planetary_lord":"Sun"},{"name":"Hora 9","start":"15:05","end":"16:05","startHours":15.083080421088955,"endHours":16.083080421088955,"planetary_lord":"Mars"},{"name":"Hora 10","start":"16:05","end":"17:05","startHours":16.083080421088955,"endHours":17.083080421088955,"planetary_lord":"Jupiter"},{"name":"Hora 11","start":"17:05","end":"18:05","startHours":17.083080421088955,"endHours":18.083080421088955,"planetary_lord":"Saturn"},{"name":"Hora 12","start":"18:05","end":"19:05","startHours":18.083080421088955,"endHours":19.083080421088955,"planetary_lord":"Moon"},{"name":"Hora 13","start":"19:05","end":"20:05","startHours":19.083080421088955,"endHours":20.083080421088955,"planetary_lord":"Mercury"},{"name":"Hora 14","start":"20:05","end":"21:05","startHours":20.083080421088955,"endHours":21.083080421088955,"planetary_lord":"Venus"},{"name":"Hora 15","start":"21:05","end":"22:05","startHours":21.083080421088955,"endHours":22.083080421088955,"planetary_lord":"Sun"},{"name":"Hora 16","start":"22:05","end":"23:05","startHours":22.083080421088955,"endHours":23.083080421088955,"planetary_lord":"Mars"},{"name":"Hora 17","start":"23:05","end":"00:05","startHours":23.083080421088955,"endHours":24.083080421088955,"planetary_lord":"Jupiter"},{"name":"Hora 18","start":"00:05","end":"01:05","startHours":24.083080421088955,"endHours":25.083080421088955,"planetary_lord":"Saturn"},{"name":"Hora 19","start":"01:05","end":"02:05","startHours":25.083080421088955,"endHours":26.083080421088955,"planetary_lord":"Moon"},{"name":"Hora 20","start":"02:05","end":"03:05","startHours":26.083080421088955,"endHours":27.083080421088955,"planetary_lord":"Mercury"},{"name":"Hora 21","start":"03:05","end":"04:05","startHours":27.083080421088955,"endHours":28.083080421088955,"planetary_lord":"Venus"},{"name":"Hora 22","start":"04:05","end":"05:05","startHours":28.083080421088955,"endHours":29.083080421088955,"planetary_lord":"Sun"},{"name":"Hora 23","start":"05:05","end":"06:05","startHours":29.083080421088955,"endHours":30.083080421088955,"planetary_lord":"Mars"},{"name":"Hora 24","start":"06:05","end":"07:05","startHours":30.083080421088955,"endHours":31.083080421088955,"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","Kanyā","Vṛścika","Kumbha","Mīna"],"unfavorable_rashis":["Meṣa","Vṛṣabha","Siṃha","Tulā","Dhanu","Makara"]},"dishaShool":"West (Paścim)","chandraVasa":"North-West","rahuVasa":"North-East","anandadiYoga":{"name":"Mānasa","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":-23.181391113792387,"eotMinutes":5.090650249418121,"ayanamsa":25.1654}},"calendars":{"vikram_samvat":2150,"vikram_samvatsara":"Akṣaya","saka_samvat":2015,"saka_samvatsara":"Pramādī","bengali_samvat":1500,"malayalam_era":1269,"nanakshahi_year":624,"lunar_month":"Pauṣa","lunar_month_paksha_full":"Pauṣa Kṛṣṇa Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Pauṣa","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":"Pauṣa Kṛṣṇa Daśamī · Vikram 2150 Akṣaya · Śaka 2015 Pramādī"},"festivals":[],"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, 2093 CE · Ṛṣikeśa · Vidhyamitra","description":"December 13, 2093 CE for Ṛṣikeśa: Kṛṣṇa Daśamī, sūryodaya 07:05, sūryāsta 17:19.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/rishikesh/2093-12-13","hreflang_alternates":{"en":"https://vidhyamitra.com/city/rishikesh/2093-12-13","sa":"https://sa.vidhyamitra.com/city/rishikesh/2093-12-13","hi":"https://hi.vidhyamitra.com/city/rishikesh/2093-12-13","x-default":"https://vidhyamitra.com/city/rishikesh/2093-12-13"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-31T10:32:12.021Z","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":"2026-05-31T10:32:12.021Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-31T10:32:12.021Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}