{"id":"vidhyamitra:city-day:rishikesh:2088-12-15:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/rishikesh/2088-12-15","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2088-12-15","date_display":"December 15, 2088 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":2088,"month":12,"day":15,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2484035.770833,"kali_year":5190,"ahargana":1895570.2708,"sun":{"sidereal_longitude":238.3323,"rashi":8,"rashi_name":"Vṛścika"},"moon":{"sidereal_longitude":262.978,"rashi":9,"rashi_name":"Dhanu"},"tithi":{"number":3,"name":"Tṛtīyā","paksha":"Śukla","full_name":"Śukla Tṛtīyā","elongation_degrees":24.6457,"elapsed_within_tithi_degrees":0.6457},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":3,"moon_longitude":262.978,"elapsed_within_degrees":9.6447},"yoga":{"number":11,"name":"Vṛddhi","sum_longitude":141.3103},"karana":{"half_tithi_index":4,"name":"Taitila"},"vara":{"number":5,"name":"Budhavāra (Wednesday)"}},"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":2088,"month":12,"day":15,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2484035.770833,"ahargana":1895570.2708,"kali_year":5190,"ayanamsa_lahiri":25.0957,"grahas":{"sun":{"sidereal_longitude":238.93262400000003,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":4},"retrograde":false},"moon":{"sidereal_longitude":260.732624,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":3},"retrograde":false,"latitude":4.4232},"mars":{"sidereal_longitude":115.83962400000001,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":9,"name":"Aśleṣā","pada":3},"retrograde":false},"mercury":{"sidereal_longitude":257.968624,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":2},"retrograde":false},"jupiter":{"sidereal_longitude":194.77842399999997,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":15,"name":"Svātī","pada":3},"retrograde":false},"venus":{"sidereal_longitude":284.79442399999994,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":22,"name":"Śravaṇa","pada":2},"retrograde":false},"saturn":{"sidereal_longitude":25.893324000000007,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":2,"name":"Bharaṇī","pada":4},"retrograde":true},"rahu":{"sidereal_longitude":183.5649,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":14,"name":"Citrā","pada":4},"retrograde":false},"ketu":{"sidereal_longitude":3.5649,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":1,"name":"Aśvinī","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":2088,"month":12,"day":15,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2484035.770833,"kali_year":5190,"ahargana":1895570.2708,"sun":{"sidereal_longitude":238.3323,"rashi":8,"rashi_name":"Vṛścika"},"moon":{"sidereal_longitude":262.978,"rashi":9,"rashi_name":"Dhanu"},"tithi":{"number":3,"name":"Tṛtīyā","paksha":"Śukla","full_name":"Śukla Tṛtīyā","elongation_degrees":24.6457,"elapsed_within_tithi_degrees":0.6457},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":3,"moon_longitude":262.978,"elapsed_within_degrees":9.6447},"yoga":{"number":11,"name":"Vṛddhi","sum_longitude":141.3103},"karana":{"half_tithi_index":4,"name":"Taitila"},"vara":{"number":5,"name":"Budhavāra (Wednesday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":4.423,"elongation":24.646},"lunar":{"type":"lunar","occurs":false,"moon_latitude":4.423,"opposition_distance":155.354}},"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":"07:06","sunsetLocal":"17:19","solarNoonLocal":"12:13","dayLengthHours":10.217279515227538,"dayLengthDisplay":"10 Hours 13 Mins 02 Secs","nightLengthDisplay":"13 Hours 46 Mins 58 Secs","moonriseLocal":"08:32","moonsetLocal":"18:47","rahuKala":{"name":"Rāhu Kāla","start":"12:13","end":"13:29","startHours":12.212527749440465,"endHours":13.489687688843906,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"08:23","end":"09:39","startHours":8.381047931230137,"endHours":9.658207870633579,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"10:56","end":"12:13","startHours":10.935367810037022,"endHours":12.212527749440465,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:29","end":"09:50","startHours":9.487919878713122,"endHours":9.828495862554039,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"07:32","end":"07:48","startHours":7.529607971627843,"endHours":7.802068758700577,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:52","end":"12:33","startHours":11.871951765599547,"endHours":12.553103733281382,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"05:44","end":"06:25","startHours":5.741584056463023,"endHours":6.422736024144859,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"06:15","end":"07:06","startHours":6.2524480322244,"endHours":7.103887991826695,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"13:55","end":"14:36","startHours":13.915407668645054,"endHours":14.59655963632689,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:07","end":"17:31","startHours":17.121167507054235,"endHours":17.521167507054233,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:19","end":"17:45","startHours":17.321167507054234,"endHours":17.746887486855382,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:04","end":"18:49","startHours":17.071167507054234,"endHours":18.821167507054234,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:52","end":"00:33","startHours":23.871951765599547,"endHours":24.553103733281382,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Labha","start":"07:06","end":"08:23","startHours":7.103887991826695,"endHours":8.381047931230137,"quality":"auspicious"},{"name":"Amṛta","start":"08:23","end":"09:39","startHours":8.381047931230137,"endHours":9.658207870633579,"quality":"auspicious"},{"name":"Kāla","start":"09:39","end":"10:56","startHours":9.658207870633579,"endHours":10.935367810037022,"quality":"inauspicious"},{"name":"Śubha","start":"10:56","end":"12:13","startHours":10.935367810037022,"endHours":12.212527749440465,"quality":"auspicious"},{"name":"Roga","start":"12:13","end":"13:29","startHours":12.212527749440465,"endHours":13.489687688843906,"quality":"inauspicious"},{"name":"Udveg","start":"13:29","end":"14:46","startHours":13.489687688843906,"endHours":14.766847628247348,"quality":"inauspicious"},{"name":"Chala","start":"14:46","end":"16:03","startHours":14.766847628247348,"endHours":16.04400756765079,"quality":"neutral"},{"name":"Labha","start":"16:03","end":"17:19","startHours":16.04400756765079,"endHours":17.321167507054234,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Udveg","start":"17:19","end":"19:03","startHours":17.321167507054234,"endHours":19.04400756765079,"quality":"inauspicious"},{"name":"Chala","start":"19:03","end":"20:46","startHours":19.04400756765079,"endHours":20.766847628247348,"quality":"neutral"},{"name":"Labha","start":"20:46","end":"22:29","startHours":20.766847628247348,"endHours":22.489687688843908,"quality":"auspicious"},{"name":"Amṛta","start":"22:29","end":"00:13","startHours":22.489687688843908,"endHours":24.212527749440465,"quality":"auspicious"},{"name":"Kāla","start":"00:13","end":"01:56","startHours":24.212527749440465,"endHours":25.93536781003702,"quality":"inauspicious"},{"name":"Śubha","start":"01:56","end":"03:39","startHours":25.93536781003702,"endHours":27.658207870633582,"quality":"auspicious"},{"name":"Roga","start":"03:39","end":"05:23","startHours":27.658207870633582,"endHours":29.38104793123014,"quality":"inauspicious"},{"name":"Udveg","start":"05:23","end":"07:06","startHours":29.38104793123014,"endHours":31.103887991826696,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"07:06","end":"08:06","startHours":7.103887991826695,"endHours":8.103887991826696,"planetary_lord":"Mercury"},{"name":"Hora 2","start":"08:06","end":"09:06","startHours":8.103887991826696,"endHours":9.103887991826696,"planetary_lord":"Venus"},{"name":"Hora 3","start":"09:06","end":"10:06","startHours":9.103887991826696,"endHours":10.103887991826696,"planetary_lord":"Sun"},{"name":"Hora 4","start":"10:06","end":"11:06","startHours":10.103887991826696,"endHours":11.103887991826696,"planetary_lord":"Mars"},{"name":"Hora 5","start":"11:06","end":"12:06","startHours":11.103887991826696,"endHours":12.103887991826696,"planetary_lord":"Jupiter"},{"name":"Hora 6","start":"12:06","end":"13:06","startHours":12.103887991826696,"endHours":13.103887991826696,"planetary_lord":"Saturn"},{"name":"Hora 7","start":"13:06","end":"14:06","startHours":13.103887991826696,"endHours":14.103887991826696,"planetary_lord":"Moon"},{"name":"Hora 8","start":"14:06","end":"15:06","startHours":14.103887991826696,"endHours":15.103887991826696,"planetary_lord":"Mercury"},{"name":"Hora 9","start":"15:06","end":"16:06","startHours":15.103887991826696,"endHours":16.103887991826696,"planetary_lord":"Venus"},{"name":"Hora 10","start":"16:06","end":"17:06","startHours":16.103887991826696,"endHours":17.103887991826696,"planetary_lord":"Sun"},{"name":"Hora 11","start":"17:06","end":"18:06","startHours":17.103887991826696,"endHours":18.103887991826696,"planetary_lord":"Mars"},{"name":"Hora 12","start":"18:06","end":"19:06","startHours":18.103887991826696,"endHours":19.103887991826696,"planetary_lord":"Jupiter"},{"name":"Hora 13","start":"19:06","end":"20:06","startHours":19.103887991826696,"endHours":20.103887991826696,"planetary_lord":"Saturn"},{"name":"Hora 14","start":"20:06","end":"21:06","startHours":20.103887991826696,"endHours":21.103887991826696,"planetary_lord":"Moon"},{"name":"Hora 15","start":"21:06","end":"22:06","startHours":21.103887991826696,"endHours":22.103887991826696,"planetary_lord":"Mercury"},{"name":"Hora 16","start":"22:06","end":"23:06","startHours":22.103887991826696,"endHours":23.103887991826696,"planetary_lord":"Venus"},{"name":"Hora 17","start":"23:06","end":"00:06","startHours":23.103887991826696,"endHours":24.103887991826696,"planetary_lord":"Sun"},{"name":"Hora 18","start":"00:06","end":"01:06","startHours":24.103887991826696,"endHours":25.103887991826696,"planetary_lord":"Mars"},{"name":"Hora 19","start":"01:06","end":"02:06","startHours":25.103887991826696,"endHours":26.103887991826696,"planetary_lord":"Jupiter"},{"name":"Hora 20","start":"02:06","end":"03:06","startHours":26.103887991826696,"endHours":27.103887991826696,"planetary_lord":"Saturn"},{"name":"Hora 21","start":"03:06","end":"04:06","startHours":27.103887991826696,"endHours":28.103887991826696,"planetary_lord":"Moon"},{"name":"Hora 22","start":"04:06","end":"05:06","startHours":28.103887991826696,"endHours":29.103887991826696,"planetary_lord":"Mercury"},{"name":"Hora 23","start":"05:06","end":"06:06","startHours":29.103887991826696,"endHours":30.103887991826696,"planetary_lord":"Venus"},{"name":"Hora 24","start":"06:06","end":"07:06","startHours":30.103887991826696,"endHours":31.103887991826696,"planetary_lord":"Sun"}],"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":"North (Uttara)","chandraVasa":"East","rahuVasa":"South-West","anandadiYoga":{"name":"Prajāpati","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":-23.30178682119422,"eotMinutes":4.177935033572184,"ayanamsa":25.0957}},"calendars":{"vikram_samvat":2145,"vikram_samvatsara":"Durmati","saka_samvat":2010,"saka_samvatsara":"Kīlaka","bengali_samvat":1495,"malayalam_era":1264,"nanakshahi_year":619,"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 2145 Durmati · Śaka 2010 Kīlaka"},"festivals":[],"todays_walk":{"walk":{"id":"budha-walk","name":"Budha Walk","name_sanskrit":"बुध यात्रा","type":"graha","description":"Discrimination + BG 2.41 (vyavasāyātmikā buddhi).","step_count":6,"url":"/walk/budha-walk"},"reason":"Budhavāra (Wednesday) — 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 15, 2088 CE · Ṛṣikeśa · Vidhyamitra","description":"December 15, 2088 CE for Ṛṣikeśa: Śukla Tṛtīyā, sūryodaya 07:06, sūryāsta 17:19.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/rishikesh/2088-12-15","hreflang_alternates":{"en":"https://vidhyamitra.com/city/rishikesh/2088-12-15","sa":"https://sa.vidhyamitra.com/city/rishikesh/2088-12-15","hi":"https://hi.vidhyamitra.com/city/rishikesh/2088-12-15","x-default":"https://vidhyamitra.com/city/rishikesh/2088-12-15"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-06-01T23:29:02.983Z","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":"2026-06-01T23:29:02.983Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-06-01T23:29:02.983Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}