{"id":"vidhyamitra:city-day:rishikesh:2046-12-18:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/rishikesh/2046-12-18","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2046-12-18","date_display":"December 18, 2046 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":2046,"month":12,"day":18,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2468697.770833,"kali_year":5148,"ahargana":1880232.2708,"sun":{"sidereal_longitude":241.2751,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":118.4727,"rashi":4,"rashi_name":"Karka"},"tithi":{"number":20,"name":"Pañcamī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Pañcamī","elongation_degrees":237.1977,"elapsed_within_tithi_degrees":9.1977},"nakshatra":{"number":9,"name":"Āśleṣā","pada":4,"moon_longitude":118.4727,"elapsed_within_degrees":11.8061},"yoga":{"number":27,"name":"Vaidhṛti","sum_longitude":359.7478},"karana":{"half_tithi_index":39,"name":"Taitila"},"vara":{"number":4,"name":"Maṅgalavāra (Tuesday)"}},"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":2046,"month":12,"day":18,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2468697.770833,"ahargana":1880232.2708,"kali_year":5148,"ayanamsa_lahiri":24.509,"grahas":{"sun":{"sidereal_longitude":241.75034800000003,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":1},"retrograde":false},"moon":{"sidereal_longitude":118.50894799999998,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":9,"name":"Aśleṣā","pada":4},"retrograde":false,"latitude":-1.7007},"mars":{"sidereal_longitude":289.09084800000005,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":22,"name":"Śravaṇa","pada":3},"retrograde":false},"mercury":{"sidereal_longitude":235.99854800000003,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":3},"retrograde":false},"jupiter":{"sidereal_longitude":344.917748,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":26,"name":"Uttara Bhādrapadā","pada":4},"retrograde":false},"venus":{"sidereal_longitude":256.74574800000005,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":2},"retrograde":false},"saturn":{"sidereal_longitude":240.351948,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":1},"retrograde":false},"rahu":{"sidereal_longitude":276.246,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":3},"retrograde":false},"ketu":{"sidereal_longitude":96.246,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":8,"name":"Puṣya","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":2046,"month":12,"day":18,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2468697.770833,"kali_year":5148,"ahargana":1880232.2708,"sun":{"sidereal_longitude":241.2751,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":118.4727,"rashi":4,"rashi_name":"Karka"},"tithi":{"number":20,"name":"Pañcamī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Pañcamī","elongation_degrees":237.1977,"elapsed_within_tithi_degrees":9.1977},"nakshatra":{"number":9,"name":"Āśleṣā","pada":4,"moon_longitude":118.4727,"elapsed_within_degrees":11.8061},"yoga":{"number":27,"name":"Vaidhṛti","sum_longitude":359.7478},"karana":{"half_tithi_index":39,"name":"Taitila"},"vara":{"number":4,"name":"Maṅgalavāra (Tuesday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-1.701,"elongation":122.802},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-1.701,"opposition_distance":57.198}},"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":"07:08","sunsetLocal":"17:20","solarNoonLocal":"12:14","dayLengthHours":10.209661535477249,"dayLengthDisplay":"10 Hours 12 Mins 35 Secs","nightLengthDisplay":"13 Hours 47 Mins 25 Secs","moonriseLocal":"21:26","moonsetLocal":"10:37","rahuKala":{"name":"Rāhu Kāla","start":"14:47","end":"16:04","startHours":14.78811326140029,"endHours":16.06432095333495,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"09:41","end":"10:58","startHours":9.683282493661668,"endHours":10.959490185596323,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"12:14","end":"13:31","startHours":12.23569787753098,"endHours":13.511905569465636,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:31","end":"09:51","startHours":9.51312146807038,"endHours":9.853443519252956,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"07:33","end":"07:50","startHours":7.556269673770574,"endHours":7.828527314716634,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:54","end":"12:35","startHours":11.895375826348404,"endHours":12.576019928713555,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"05:46","end":"06:27","startHours":5.769578905062055,"endHours":6.450223007427205,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"06:17","end":"07:08","startHours":6.280061981835917,"endHours":7.130867109792355,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"13:56","end":"14:37","startHours":13.937308133443855,"endHours":14.617952235809005,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:08","end":"17:32","startHours":17.140528645269605,"endHours":17.540528645269603,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:20","end":"17:46","startHours":17.340528645269604,"endHours":17.76593120924782,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:05","end":"18:50","startHours":17.090528645269604,"endHours":18.840528645269604,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:54","end":"00:35","startHours":23.895375826348406,"endHours":24.576019928713556,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Roga","start":"07:08","end":"08:24","startHours":7.130867109792355,"endHours":8.407074801727012,"quality":"inauspicious"},{"name":"Udveg","start":"08:24","end":"09:41","startHours":8.407074801727012,"endHours":9.683282493661668,"quality":"inauspicious"},{"name":"Chala","start":"09:41","end":"10:58","startHours":9.683282493661668,"endHours":10.959490185596323,"quality":"neutral"},{"name":"Labha","start":"10:58","end":"12:14","startHours":10.959490185596323,"endHours":12.23569787753098,"quality":"auspicious"},{"name":"Amṛta","start":"12:14","end":"13:31","startHours":12.23569787753098,"endHours":13.511905569465636,"quality":"auspicious"},{"name":"Kāla","start":"13:31","end":"14:47","startHours":13.511905569465636,"endHours":14.78811326140029,"quality":"inauspicious"},{"name":"Śubha","start":"14:47","end":"16:04","startHours":14.78811326140029,"endHours":16.06432095333495,"quality":"auspicious"},{"name":"Roga","start":"16:04","end":"17:20","startHours":16.06432095333495,"endHours":17.340528645269604,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Kāla","start":"17:20","end":"19:04","startHours":17.340528645269604,"endHours":19.06432095333495,"quality":"inauspicious"},{"name":"Śubha","start":"19:04","end":"20:47","startHours":19.06432095333495,"endHours":20.78811326140029,"quality":"auspicious"},{"name":"Roga","start":"20:47","end":"22:31","startHours":20.78811326140029,"endHours":22.511905569465636,"quality":"inauspicious"},{"name":"Udveg","start":"22:31","end":"00:14","startHours":22.511905569465636,"endHours":24.23569787753098,"quality":"inauspicious"},{"name":"Chala","start":"00:14","end":"01:58","startHours":24.23569787753098,"endHours":25.959490185596323,"quality":"neutral"},{"name":"Labha","start":"01:58","end":"03:41","startHours":25.959490185596323,"endHours":27.683282493661668,"quality":"auspicious"},{"name":"Amṛta","start":"03:41","end":"05:24","startHours":27.683282493661668,"endHours":29.407074801727013,"quality":"auspicious"},{"name":"Kāla","start":"05:24","end":"07:08","startHours":29.407074801727013,"endHours":31.130867109792355,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"07:08","end":"08:08","startHours":7.130867109792355,"endHours":8.130867109792355,"planetary_lord":"Mars"},{"name":"Hora 2","start":"08:08","end":"09:08","startHours":8.130867109792355,"endHours":9.130867109792355,"planetary_lord":"Jupiter"},{"name":"Hora 3","start":"09:08","end":"10:08","startHours":9.130867109792355,"endHours":10.130867109792355,"planetary_lord":"Saturn"},{"name":"Hora 4","start":"10:08","end":"11:08","startHours":10.130867109792355,"endHours":11.130867109792355,"planetary_lord":"Moon"},{"name":"Hora 5","start":"11:08","end":"12:08","startHours":11.130867109792355,"endHours":12.130867109792355,"planetary_lord":"Mercury"},{"name":"Hora 6","start":"12:08","end":"13:08","startHours":12.130867109792355,"endHours":13.130867109792355,"planetary_lord":"Venus"},{"name":"Hora 7","start":"13:08","end":"14:08","startHours":13.130867109792355,"endHours":14.130867109792355,"planetary_lord":"Sun"},{"name":"Hora 8","start":"14:08","end":"15:08","startHours":14.130867109792355,"endHours":15.130867109792355,"planetary_lord":"Mars"},{"name":"Hora 9","start":"15:08","end":"16:08","startHours":15.130867109792355,"endHours":16.130867109792355,"planetary_lord":"Jupiter"},{"name":"Hora 10","start":"16:08","end":"17:08","startHours":16.130867109792355,"endHours":17.130867109792355,"planetary_lord":"Saturn"},{"name":"Hora 11","start":"17:08","end":"18:08","startHours":17.130867109792355,"endHours":18.130867109792355,"planetary_lord":"Moon"},{"name":"Hora 12","start":"18:08","end":"19:08","startHours":18.130867109792355,"endHours":19.130867109792355,"planetary_lord":"Mercury"},{"name":"Hora 13","start":"19:08","end":"20:08","startHours":19.130867109792355,"endHours":20.130867109792355,"planetary_lord":"Venus"},{"name":"Hora 14","start":"20:08","end":"21:08","startHours":20.130867109792355,"endHours":21.130867109792355,"planetary_lord":"Sun"},{"name":"Hora 15","start":"21:08","end":"22:08","startHours":21.130867109792355,"endHours":22.130867109792355,"planetary_lord":"Mars"},{"name":"Hora 16","start":"22:08","end":"23:08","startHours":22.130867109792355,"endHours":23.130867109792355,"planetary_lord":"Jupiter"},{"name":"Hora 17","start":"23:08","end":"00:08","startHours":23.130867109792355,"endHours":24.130867109792355,"planetary_lord":"Saturn"},{"name":"Hora 18","start":"00:08","end":"01:08","startHours":24.130867109792355,"endHours":25.130867109792355,"planetary_lord":"Moon"},{"name":"Hora 19","start":"01:08","end":"02:08","startHours":25.130867109792355,"endHours":26.130867109792355,"planetary_lord":"Mercury"},{"name":"Hora 20","start":"02:08","end":"03:08","startHours":26.130867109792355,"endHours":27.130867109792355,"planetary_lord":"Venus"},{"name":"Hora 21","start":"03:08","end":"04:08","startHours":27.130867109792355,"endHours":28.130867109792355,"planetary_lord":"Sun"},{"name":"Hora 22","start":"04:08","end":"05:08","startHours":28.130867109792355,"endHours":29.130867109792355,"planetary_lord":"Mars"},{"name":"Hora 23","start":"05:08","end":"06:08","startHours":29.130867109792355,"endHours":30.130867109792355,"planetary_lord":"Jupiter"},{"name":"Hora 24","start":"06:08","end":"07:08","startHours":30.130867109792355,"endHours":31.130867109792355,"planetary_lord":"Saturn"}],"taraBala":{"favorable_nakshatras":["Aśvinī","Bharaṇī","Kṛttikā","Rohiṇī","Mṛgaśirā","Maghā","Pūrva Phalgunī","Uttara Phalgunī","Hasta","Citrā","Mūla","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Śravaṇa","Dhaniṣṭhā"],"unfavorable_nakshatras":["Ārdrā","Punarvasu","Puṣya","Aśleṣā","Svātī","Viśākhā","Anurādhā","Jyeṣṭhā","Śatabhiṣaj","Pūrva Bhādrapadā","Uttara Bhādrapadā","Revatī"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Meṣa","Vṛṣabha","Karka","Kanyā","Dhanu","Makara"],"unfavorable_rashis":["Mithuna","Siṃha","Tulā","Vṛścika","Kumbha","Mīna"]},"dishaShool":"North (Uttara)","chandraVasa":"South-West","rahuVasa":"North","anandadiYoga":{"name":"Mṛtyu","quality":"Inauspicious"},"tropicalRitu":"Hemanta (Pre-winter)","vedicRitu":"Hemanta (Pre-winter)","tropicalAyana":"Dakṣiṇāyana","vedicAyana":"Dakṣiṇāyana","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":-23.38359640823519,"eotMinutes":2.787727348141232,"ayanamsa":24.509}},"calendars":{"vikram_samvat":2103,"vikram_samvatsara":"Pramāthi","saka_samvat":1968,"saka_samvatsara":"Akṣaya","bengali_samvat":1453,"malayalam_era":1222,"nanakshahi_year":577,"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":"Dhanus (Mārgaḻi)","ritu":"Hemanta (Pre-winter)","display_summary":"Pauṣa Kṛṣṇa Pañcamī · Vikram 2103 Pramāthi · Śaka 1968 Akṣaya"},"festivals":[],"todays_walk":{"walk":{"id":"mangala-walk","name":"Maṅgala Walk","name_sanskrit":"मङ्गल यात्रा","type":"graha","description":"Right action + BG 2.31-38 (kṣatriya-dharma).","step_count":7,"url":"/walk/mangala-walk"},"reason":"Maṅgalavāra (Tuesday) — 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 18, 2046 CE · Ṛṣikeśa · Vidhyamitra","description":"December 18, 2046 CE for Ṛṣikeśa: Kṛṣṇa Pañcamī, sūryodaya 07:08, sūryāsta 17:20.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/rishikesh/2046-12-18","hreflang_alternates":{"en":"https://vidhyamitra.com/city/rishikesh/2046-12-18","sa":"https://sa.vidhyamitra.com/city/rishikesh/2046-12-18","hi":"https://hi.vidhyamitra.com/city/rishikesh/2046-12-18","x-default":"https://vidhyamitra.com/city/rishikesh/2046-12-18"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-31T10:23:19.357Z","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":"2026-05-31T10:23:19.357Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-31T10:23:19.357Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}