{"id":"vidhyamitra:city-day:rishikesh:2075-12-11:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/rishikesh/2075-12-11","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2075-12-11","date_display":"December 11, 2075 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":2075,"month":12,"day":11,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2479282.770833,"kali_year":5177,"ahargana":1890817.2708,"sun":{"sidereal_longitude":233.5795,"rashi":8,"rashi_name":"Vṛścika"},"moon":{"sidereal_longitude":273.4736,"rashi":10,"rashi_name":"Makara"},"tithi":{"number":4,"name":"Caturthī","paksha":"Śukla","full_name":"Śukla Caturthī","elongation_degrees":39.8941,"elapsed_within_tithi_degrees":3.8941},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":3,"moon_longitude":273.4736,"elapsed_within_degrees":6.8069},"yoga":{"number":12,"name":"Dhruva","sum_longitude":147.053},"karana":{"half_tithi_index":6,"name":"Vaṇija"},"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":2075,"month":12,"day":11,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2479282.770833,"ahargana":1890817.2708,"kali_year":5177,"ayanamsa_lahiri":24.9139,"grahas":{"sun":{"sidereal_longitude":234.18892400000004,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":3},"retrograde":false},"moon":{"sidereal_longitude":277.05852400000003,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":4},"retrograde":false,"latitude":-1.3946},"mars":{"sidereal_longitude":146.541024,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","pada":4},"retrograde":false},"mercury":{"sidereal_longitude":253.14752399999998,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":4},"retrograde":false},"jupiter":{"sidereal_longitude":164.86412399999995,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":13,"name":"Hasta","pada":2},"retrograde":false},"venus":{"sidereal_longitude":266.91932399999996,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":1},"retrograde":false},"saturn":{"sidereal_longitude":235.05212400000005,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":3},"retrograde":false},"rahu":{"sidereal_longitude":75.4017,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":6,"name":"Ārdrā","pada":3},"retrograde":false},"ketu":{"sidereal_longitude":255.4017,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva 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":2075,"month":12,"day":11,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2479282.770833,"kali_year":5177,"ahargana":1890817.2708,"sun":{"sidereal_longitude":233.5795,"rashi":8,"rashi_name":"Vṛścika"},"moon":{"sidereal_longitude":273.4736,"rashi":10,"rashi_name":"Makara"},"tithi":{"number":4,"name":"Caturthī","paksha":"Śukla","full_name":"Śukla Caturthī","elongation_degrees":39.8941,"elapsed_within_tithi_degrees":3.8941},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":3,"moon_longitude":273.4736,"elapsed_within_degrees":6.8069},"yoga":{"number":12,"name":"Dhruva","sum_longitude":147.053},"karana":{"half_tithi_index":6,"name":"Vaṇija"},"vara":{"number":5,"name":"Budhavāra (Wednesday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-1.395,"elongation":39.894},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-1.395,"opposition_distance":140.106}},"eclipse_window_40days":[{"offset_days":11,"type":"lunar","occurs":true,"moon_latitude":-0.965,"opposition_distance":2.446}]},"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":10.246270504556271,"dayLengthDisplay":"10 Hours 14 Mins 47 Secs","nightLengthDisplay":"13 Hours 45 Mins 13 Secs","moonriseLocal":"09:47","moonsetLocal":"20:17","rahuKala":{"name":"Rāhu Kāla","start":"12:11","end":"13:28","startHours":12.182358621924454,"endHours":13.463142434993987,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"08:20","end":"09:37","startHours":8.340007182715851,"endHours":9.620790995785384,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"10:54","end":"12:11","startHours":10.90157480885492,"endHours":12.182358621924454,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:27","end":"09:47","startHours":9.450019820709446,"endHours":9.791562170861322,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"07:29","end":"07:46","startHours":7.486151307336162,"endHours":7.759385187457663,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:50","end":"12:31","startHours":11.840816271772578,"endHours":12.52390097207633,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"05:42","end":"06:23","startHours":5.693053969038814,"endHours":6.376138669342566,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"06:12","end":"07:04","startHours":6.205367494266628,"endHours":7.059223369646317,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"13:53","end":"14:34","startHours":13.890070372683832,"endHours":14.573155072987584,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:06","end":"17:30","startHours":17.10549387420259,"endHours":17.50549387420259,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:18","end":"17:44","startHours":17.30549387420259,"endHours":17.732421811892433,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:03","end":"18:48","startHours":17.05549387420259,"endHours":18.80549387420259,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:50","end":"00:31","startHours":23.840816271772578,"endHours":24.52390097207633,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Labha","start":"07:04","end":"08:20","startHours":7.059223369646317,"endHours":8.340007182715851,"quality":"auspicious"},{"name":"Amṛta","start":"08:20","end":"09:37","startHours":8.340007182715851,"endHours":9.620790995785384,"quality":"auspicious"},{"name":"Kāla","start":"09:37","end":"10:54","startHours":9.620790995785384,"endHours":10.90157480885492,"quality":"inauspicious"},{"name":"Śubha","start":"10:54","end":"12:11","startHours":10.90157480885492,"endHours":12.182358621924454,"quality":"auspicious"},{"name":"Roga","start":"12:11","end":"13:28","startHours":12.182358621924454,"endHours":13.463142434993987,"quality":"inauspicious"},{"name":"Udveg","start":"13:28","end":"14:45","startHours":13.463142434993987,"endHours":14.74392624806352,"quality":"inauspicious"},{"name":"Chala","start":"14:45","end":"16:01","startHours":14.74392624806352,"endHours":16.024710061133057,"quality":"neutral"},{"name":"Labha","start":"16:01","end":"17:18","startHours":16.024710061133057,"endHours":17.30549387420259,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Udveg","start":"17:18","end":"19:01","startHours":17.30549387420259,"endHours":19.024710061133057,"quality":"inauspicious"},{"name":"Chala","start":"19:01","end":"20:45","startHours":19.024710061133057,"endHours":20.743926248063524,"quality":"neutral"},{"name":"Labha","start":"20:45","end":"22:28","startHours":20.743926248063524,"endHours":22.463142434993987,"quality":"auspicious"},{"name":"Amṛta","start":"22:28","end":"00:11","startHours":22.463142434993987,"endHours":24.182358621924454,"quality":"auspicious"},{"name":"Kāla","start":"00:11","end":"01:54","startHours":24.182358621924454,"endHours":25.90157480885492,"quality":"inauspicious"},{"name":"Śubha","start":"01:54","end":"03:37","startHours":25.90157480885492,"endHours":27.620790995785384,"quality":"auspicious"},{"name":"Roga","start":"03:37","end":"05:20","startHours":27.620790995785384,"endHours":29.34000718271585,"quality":"inauspicious"},{"name":"Udveg","start":"05:20","end":"07:04","startHours":29.34000718271585,"endHours":31.05922336964632,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"07:04","end":"08:04","startHours":7.059223369646317,"endHours":8.059223369646318,"planetary_lord":"Mercury"},{"name":"Hora 2","start":"08:04","end":"09:04","startHours":8.059223369646318,"endHours":9.059223369646318,"planetary_lord":"Venus"},{"name":"Hora 3","start":"09:04","end":"10:04","startHours":9.059223369646318,"endHours":10.059223369646318,"planetary_lord":"Sun"},{"name":"Hora 4","start":"10:04","end":"11:04","startHours":10.059223369646318,"endHours":11.059223369646318,"planetary_lord":"Mars"},{"name":"Hora 5","start":"11:04","end":"12:04","startHours":11.059223369646318,"endHours":12.059223369646318,"planetary_lord":"Jupiter"},{"name":"Hora 6","start":"12:04","end":"13:04","startHours":12.059223369646318,"endHours":13.059223369646318,"planetary_lord":"Saturn"},{"name":"Hora 7","start":"13:04","end":"14:04","startHours":13.059223369646318,"endHours":14.059223369646318,"planetary_lord":"Moon"},{"name":"Hora 8","start":"14:04","end":"15:04","startHours":14.059223369646318,"endHours":15.059223369646318,"planetary_lord":"Mercury"},{"name":"Hora 9","start":"15:04","end":"16:04","startHours":15.059223369646318,"endHours":16.05922336964632,"planetary_lord":"Venus"},{"name":"Hora 10","start":"16:04","end":"17:04","startHours":16.05922336964632,"endHours":17.05922336964632,"planetary_lord":"Sun"},{"name":"Hora 11","start":"17:04","end":"18:04","startHours":17.05922336964632,"endHours":18.05922336964632,"planetary_lord":"Mars"},{"name":"Hora 12","start":"18:04","end":"19:04","startHours":18.05922336964632,"endHours":19.05922336964632,"planetary_lord":"Jupiter"},{"name":"Hora 13","start":"19:04","end":"20:04","startHours":19.05922336964632,"endHours":20.05922336964632,"planetary_lord":"Saturn"},{"name":"Hora 14","start":"20:04","end":"21:04","startHours":20.05922336964632,"endHours":21.05922336964632,"planetary_lord":"Moon"},{"name":"Hora 15","start":"21:04","end":"22:04","startHours":21.05922336964632,"endHours":22.05922336964632,"planetary_lord":"Mercury"},{"name":"Hora 16","start":"22:04","end":"23:04","startHours":22.05922336964632,"endHours":23.05922336964632,"planetary_lord":"Venus"},{"name":"Hora 17","start":"23:04","end":"00:04","startHours":23.05922336964632,"endHours":24.05922336964632,"planetary_lord":"Sun"},{"name":"Hora 18","start":"00:04","end":"01:04","startHours":24.05922336964632,"endHours":25.05922336964632,"planetary_lord":"Mars"},{"name":"Hora 19","start":"01:04","end":"02:04","startHours":25.05922336964632,"endHours":26.05922336964632,"planetary_lord":"Jupiter"},{"name":"Hora 20","start":"02:04","end":"03:04","startHours":26.05922336964632,"endHours":27.05922336964632,"planetary_lord":"Saturn"},{"name":"Hora 21","start":"03:04","end":"04:04","startHours":27.05922336964632,"endHours":28.05922336964632,"planetary_lord":"Moon"},{"name":"Hora 22","start":"04:04","end":"05:04","startHours":28.05922336964632,"endHours":29.05922336964632,"planetary_lord":"Mercury"},{"name":"Hora 23","start":"05:04","end":"06:04","startHours":29.05922336964632,"endHours":30.05922336964632,"planetary_lord":"Venus"},{"name":"Hora 24","start":"06:04","end":"07:04","startHours":30.05922336964632,"endHours":31.05922336964632,"planetary_lord":"Sun"}],"taraBala":{"favorable_nakshatras":["Rohiṇī","Mṛgaśirā","Ārdrā","Punarvasu","Puṣya","Hasta","Citrā","Svātī","Viśākhā","Anurādhā","Śravaṇa","Dhaniṣṭhā","Śatabhiṣaj","Pūrva Bhādrapadā","Uttara Bhādrapadā"],"unfavorable_nakshatras":["Aśvinī","Bharaṇī","Kṛttikā","Aśleṣā","Maghā","Pūrva Phalgunī","Uttara Phalgunī","Jyeṣṭhā","Mūla","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Revatī"],"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":"North (Uttara)","chandraVasa":"South-East","rahuVasa":"South-West","anandadiYoga":{"name":"Saumya","quality":"Auspicious"},"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":-22.989383701102835,"eotMinutes":5.988082684532823,"ayanamsa":24.9139}},"calendars":{"vikram_samvat":2132,"vikram_samvatsara":"Kīlaka","saka_samvat":1997,"saka_samvatsara":"Manmatha","bengali_samvat":1482,"malayalam_era":1251,"nanakshahi_year":606,"lunar_month":"Mārgaśīrṣa","lunar_month_paksha_full":"Mārgaśīrṣa Śukla Pakṣa","solar_month":"Vṛścika (Kārttikai)","ritu":"Hemanta (Pre-winter)","display_summary":"Mārgaśīrṣa Śukla Caturthī · Vikram 2132 Kīlaka · Śaka 1997 Manmatha"},"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":"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 11, 2075 CE · Ṛṣikeśa · Vidhyamitra","description":"December 11, 2075 CE for Ṛṣikeśa: Śukla Caturthī, sūryodaya 07:04, sūryāsta 17:18.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/rishikesh/2075-12-11","hreflang_alternates":{"en":"https://vidhyamitra.com/city/rishikesh/2075-12-11","sa":"https://sa.vidhyamitra.com/city/rishikesh/2075-12-11","hi":"https://hi.vidhyamitra.com/city/rishikesh/2075-12-11","x-default":"https://vidhyamitra.com/city/rishikesh/2075-12-11"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-18T12:44:38.256Z","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":"2026-05-18T12:44:38.256Z","verification":{"type":"community-validated","markers":["matches Drikpanchang ±1 minute on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-18T12:44:38.256Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}