{"id":"vidhyamitra:city-day:rishikesh:2087-12-11:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/rishikesh/2087-12-11","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2087-12-11","date_display":"December 11, 2087 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":2087,"month":12,"day":11,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2483665.770833,"kali_year":5189,"ahargana":1895200.2708,"sun":{"sidereal_longitude":233.4718,"rashi":8,"rashi_name":"Vṛścika"},"moon":{"sidereal_longitude":68.6017,"rashi":3,"rashi_name":"Mithuna"},"tithi":{"number":17,"name":"Dvitīyā","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Dvitīyā","elongation_degrees":195.1299,"elapsed_within_tithi_degrees":3.1299},"nakshatra":{"number":6,"name":"Ārdrā","pada":1,"moon_longitude":68.6017,"elapsed_within_degrees":1.9351},"yoga":{"number":23,"name":"Śubha","sum_longitude":302.0735},"karana":{"half_tithi_index":32,"name":"Taitila"},"vara":{"number":6,"name":"Guruvāra (Thursday)"}},"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":2087,"month":12,"day":11,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2483665.770833,"ahargana":1895200.2708,"kali_year":5189,"ayanamsa_lahiri":25.0815,"grahas":{"sun":{"sidereal_longitude":234.110361,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":3},"retrograde":false},"moon":{"sidereal_longitude":69.71156099999996,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":6,"name":"Ārdrā","pada":1},"retrograde":false,"latitude":-3.2043},"mars":{"sidereal_longitude":232.535261,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":2},"retrograde":false},"mercury":{"sidereal_longitude":241.84606099999996,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":1},"retrograde":false},"jupiter":{"sidereal_longitude":168.88026100000002,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":13,"name":"Hasta","pada":3},"retrograde":false},"venus":{"sidereal_longitude":195.336361,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":15,"name":"Svātī","pada":3},"retrograde":false},"saturn":{"sidereal_longitude":11.74706100000003,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":1,"name":"Aśvinī","pada":4},"retrograde":true},"rahu":{"sidereal_longitude":203.1693,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":16,"name":"Viśākhā","pada":1},"retrograde":false},"ketu":{"sidereal_longitude":23.1693,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":2,"name":"Bharaṇī","pada":3},"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":2087,"month":12,"day":11,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2483665.770833,"kali_year":5189,"ahargana":1895200.2708,"sun":{"sidereal_longitude":233.4718,"rashi":8,"rashi_name":"Vṛścika"},"moon":{"sidereal_longitude":68.6017,"rashi":3,"rashi_name":"Mithuna"},"tithi":{"number":17,"name":"Dvitīyā","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Dvitīyā","elongation_degrees":195.1299,"elapsed_within_tithi_degrees":3.1299},"nakshatra":{"number":6,"name":"Ārdrā","pada":1,"moon_longitude":68.6017,"elapsed_within_degrees":1.9351},"yoga":{"number":23,"name":"Śubha","sum_longitude":302.0735},"karana":{"half_tithi_index":32,"name":"Taitila"},"vara":{"number":6,"name":"Guruvāra (Thursday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-3.204,"elongation":164.87},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-3.204,"opposition_distance":15.13}},"eclipse_window_40days":[{"offset_days":-16,"type":"solar","occurs":true,"moon_latitude":0.904,"elongation":1.517}]},"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":10.245600111900822,"dayLengthDisplay":"10 Hours 14 Mins 44 Secs","nightLengthDisplay":"13 Hours 45 Mins 16 Secs","moonriseLocal":"18:12","moonsetLocal":"08:14","rahuKala":{"name":"Rāhu Kāla","start":"13:28","end":"14:45","startHours":13.463058635912056,"endHours":14.74375864989966,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"07:04","end":"08:20","startHours":7.059558565974042,"endHours":8.340258579961645,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"09:37","end":"10:54","startHours":9.620958593949247,"endHours":10.90165860793685,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:27","end":"09:48","startHours":9.450198592084234,"endHours":9.791718595814261,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"07:29","end":"07:46","startHours":7.486458570636576,"endHours":7.759674573620598,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:50","end":"12:31","startHours":11.840838618194427,"endHours":12.523878625654481,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"05:42","end":"06:23","startHours":5.693478551053932,"endHours":6.376518558513987,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"06:12","end":"07:04","startHours":6.2057585566489735,"endHours":7.059558565974042,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"13:53","end":"14:34","startHours":13.88995864057459,"endHours":14.572998648034645,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:06","end":"17:30","startHours":17.105158677874865,"endHours":17.505158677874864,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:18","end":"17:44","startHours":17.305158677874864,"endHours":17.7320586825374,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:03","end":"18:48","startHours":17.055158677874864,"endHours":18.805158677874864,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:50","end":"00:31","startHours":23.840838618194425,"endHours":24.523878625654483,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Śubha","start":"07:04","end":"08:20","startHours":7.059558565974042,"endHours":8.340258579961645,"quality":"auspicious"},{"name":"Roga","start":"08:20","end":"09:37","startHours":8.340258579961645,"endHours":9.620958593949247,"quality":"inauspicious"},{"name":"Udveg","start":"09:37","end":"10:54","startHours":9.620958593949247,"endHours":10.90165860793685,"quality":"inauspicious"},{"name":"Chala","start":"10:54","end":"12:11","startHours":10.90165860793685,"endHours":12.182358621924454,"quality":"neutral"},{"name":"Labha","start":"12:11","end":"13:28","startHours":12.182358621924454,"endHours":13.463058635912056,"quality":"auspicious"},{"name":"Amṛta","start":"13:28","end":"14:45","startHours":13.463058635912056,"endHours":14.74375864989966,"quality":"auspicious"},{"name":"Kāla","start":"14:45","end":"16:01","startHours":14.74375864989966,"endHours":16.02445866388726,"quality":"inauspicious"},{"name":"Śubha","start":"16:01","end":"17:18","startHours":16.02445866388726,"endHours":17.305158677874864,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Amṛta","start":"17:18","end":"19:01","startHours":17.305158677874864,"endHours":19.024458663887263,"quality":"auspicious"},{"name":"Kāla","start":"19:01","end":"20:45","startHours":19.024458663887263,"endHours":20.743758649899657,"quality":"inauspicious"},{"name":"Śubha","start":"20:45","end":"22:28","startHours":20.743758649899657,"endHours":22.463058635912056,"quality":"auspicious"},{"name":"Roga","start":"22:28","end":"00:11","startHours":22.463058635912056,"endHours":24.182358621924454,"quality":"inauspicious"},{"name":"Udveg","start":"00:11","end":"01:54","startHours":24.182358621924454,"endHours":25.901658607936852,"quality":"inauspicious"},{"name":"Chala","start":"01:54","end":"03:37","startHours":25.901658607936852,"endHours":27.620958593949247,"quality":"neutral"},{"name":"Labha","start":"03:37","end":"05:20","startHours":27.620958593949247,"endHours":29.340258579961645,"quality":"auspicious"},{"name":"Amṛta","start":"05:20","end":"07:04","startHours":29.340258579961645,"endHours":31.059558565974044,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"07:04","end":"08:04","startHours":7.059558565974042,"endHours":8.059558565974042,"planetary_lord":"Jupiter"},{"name":"Hora 2","start":"08:04","end":"09:04","startHours":8.059558565974042,"endHours":9.059558565974042,"planetary_lord":"Saturn"},{"name":"Hora 3","start":"09:04","end":"10:04","startHours":9.059558565974042,"endHours":10.059558565974042,"planetary_lord":"Moon"},{"name":"Hora 4","start":"10:04","end":"11:04","startHours":10.059558565974042,"endHours":11.059558565974042,"planetary_lord":"Mercury"},{"name":"Hora 5","start":"11:04","end":"12:04","startHours":11.059558565974042,"endHours":12.059558565974042,"planetary_lord":"Venus"},{"name":"Hora 6","start":"12:04","end":"13:04","startHours":12.059558565974042,"endHours":13.059558565974042,"planetary_lord":"Sun"},{"name":"Hora 7","start":"13:04","end":"14:04","startHours":13.059558565974042,"endHours":14.059558565974042,"planetary_lord":"Mars"},{"name":"Hora 8","start":"14:04","end":"15:04","startHours":14.059558565974042,"endHours":15.059558565974042,"planetary_lord":"Jupiter"},{"name":"Hora 9","start":"15:04","end":"16:04","startHours":15.059558565974042,"endHours":16.059558565974044,"planetary_lord":"Saturn"},{"name":"Hora 10","start":"16:04","end":"17:04","startHours":16.059558565974044,"endHours":17.059558565974044,"planetary_lord":"Moon"},{"name":"Hora 11","start":"17:04","end":"18:04","startHours":17.059558565974044,"endHours":18.059558565974044,"planetary_lord":"Mercury"},{"name":"Hora 12","start":"18:04","end":"19:04","startHours":18.059558565974044,"endHours":19.059558565974044,"planetary_lord":"Venus"},{"name":"Hora 13","start":"19:04","end":"20:04","startHours":19.059558565974044,"endHours":20.059558565974044,"planetary_lord":"Sun"},{"name":"Hora 14","start":"20:04","end":"21:04","startHours":20.059558565974044,"endHours":21.059558565974044,"planetary_lord":"Mars"},{"name":"Hora 15","start":"21:04","end":"22:04","startHours":21.059558565974044,"endHours":22.059558565974044,"planetary_lord":"Jupiter"},{"name":"Hora 16","start":"22:04","end":"23:04","startHours":22.059558565974044,"endHours":23.059558565974044,"planetary_lord":"Saturn"},{"name":"Hora 17","start":"23:04","end":"00:04","startHours":23.059558565974044,"endHours":24.059558565974044,"planetary_lord":"Moon"},{"name":"Hora 18","start":"00:04","end":"01:04","startHours":24.059558565974044,"endHours":25.059558565974044,"planetary_lord":"Mercury"},{"name":"Hora 19","start":"01:04","end":"02:04","startHours":25.059558565974044,"endHours":26.059558565974044,"planetary_lord":"Venus"},{"name":"Hora 20","start":"02:04","end":"03:04","startHours":26.059558565974044,"endHours":27.059558565974044,"planetary_lord":"Sun"},{"name":"Hora 21","start":"03:04","end":"04:04","startHours":27.059558565974044,"endHours":28.059558565974044,"planetary_lord":"Mars"},{"name":"Hora 22","start":"04:04","end":"05:04","startHours":28.059558565974044,"endHours":29.059558565974044,"planetary_lord":"Jupiter"},{"name":"Hora 23","start":"05:04","end":"06:04","startHours":29.059558565974044,"endHours":30.059558565974044,"planetary_lord":"Saturn"},{"name":"Hora 24","start":"06:04","end":"07:04","startHours":30.059558565974044,"endHours":31.059558565974044,"planetary_lord":"Moon"}],"taraBala":{"favorable_nakshatras":["Aśvinī","Bharaṇī","Punarvasu","Puṣya","Aśleṣā","Maghā","Pūrva Phalgunī","Viśākhā","Anurādhā","Jyeṣṭhā","Mūla","Pūrva Āṣāḍhā","Pūrva Bhādrapadā","Uttara Bhādrapadā","Revatī"],"unfavorable_nakshatras":["Kṛttikā","Rohiṇī","Mṛgaśirā","Ārdrā","Uttara Phalgunī","Hasta","Citrā","Svātī","Uttara Āṣāḍhā","Śravaṇa","Dhaniṣṭhā","Śatabhiṣaj"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Meṣa","Mithuna","Siṃha","Vṛścika","Dhanu","Mīna"],"unfavorable_rashis":["Vṛṣabha","Karka","Kanyā","Tulā","Makara","Kumbha"]},"dishaShool":"South (Dakṣiṇa)","chandraVasa":"South","rahuVasa":"North-West","anandadiYoga":{"name":"Mausala","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":-22.99662683230527,"eotMinutes":5.988082684532823,"ayanamsa":25.0815}},"calendars":{"vikram_samvat":2144,"vikram_samvatsara":"Raudra","saka_samvat":2009,"saka_samvatsara":"Plavaṅga","bengali_samvat":1494,"malayalam_era":1263,"nanakshahi_year":618,"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 Dvitīyā · Vikram 2144 Raudra · Śaka 2009 Plavaṅga"},"festivals":[],"todays_walk":{"walk":{"id":"guru-walk","name":"Bṛhaspati Walk","name_sanskrit":"गुरु यात्रा","type":"graha","description":"Wisdom transmission + BG 4.34.","step_count":8,"url":"/walk/guru-walk"},"reason":"Guruvāra (Thursday) — 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 11, 2087 CE · Ṛṣikeśa · Vidhyamitra","description":"December 11, 2087 CE for Ṛṣikeśa: Kṛṣṇa Dvitīyā, sūryodaya 07:04, sūryāsta 17:18.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/rishikesh/2087-12-11","hreflang_alternates":{"en":"https://vidhyamitra.com/city/rishikesh/2087-12-11","sa":"https://sa.vidhyamitra.com/city/rishikesh/2087-12-11","hi":"https://hi.vidhyamitra.com/city/rishikesh/2087-12-11","x-default":"https://vidhyamitra.com/city/rishikesh/2087-12-11"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-31T17:19:44.017Z","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":"2026-05-31T17:19:44.017Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-31T17:19:44.017Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}