{"id":"vidhyamitra:city-day:rishikesh:2054-12-04:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/rishikesh/2054-12-04","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2054-12-04","date_display":"December 4, 2054 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":2054,"month":12,"day":4,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2471605.770833,"kali_year":5156,"ahargana":1883140.2708,"sun":{"sidereal_longitude":226.8599,"rashi":8,"rashi_name":"Vṛścika"},"moon":{"sidereal_longitude":283.8392,"rashi":10,"rashi_name":"Makara"},"tithi":{"number":5,"name":"Pañcamī","paksha":"Śukla","full_name":"Śukla Pañcamī","elongation_degrees":56.9793,"elapsed_within_tithi_degrees":8.9793},"nakshatra":{"number":22,"name":"Śravaṇa","pada":2,"moon_longitude":283.8392,"elapsed_within_degrees":3.8392},"yoga":{"number":12,"name":"Dhruva","sum_longitude":150.6991},"karana":{"half_tithi_index":9,"name":"Bālava"},"vara":{"number":0,"name":"Śukravāra (Friday)"}},"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":2054,"month":12,"day":4,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2471605.770833,"ahargana":1883140.2708,"kali_year":5156,"ayanamsa_lahiri":24.6202,"grahas":{"sun":{"sidereal_longitude":227.473341,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":1},"retrograde":false},"moon":{"sidereal_longitude":282.5873409999999,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":22,"name":"Śravaṇa","pada":1},"retrograde":false,"latitude":1.4137},"mars":{"sidereal_longitude":66.03324099999998,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":5,"name":"Mr̥gaśirā","pada":4},"retrograde":true},"mercury":{"sidereal_longitude":230.582941,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":2},"retrograde":false},"jupiter":{"sidereal_longitude":231.02464099999997,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":2},"retrograde":false},"venus":{"sidereal_longitude":239.654041,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":4},"retrograde":false},"saturn":{"sidereal_longitude":325.15794099999994,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":25,"name":"Pūrva Bhādrapadā","pada":2},"retrograde":false},"rahu":{"sidereal_longitude":122.1661,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":10,"name":"Maghā","pada":1},"retrograde":false},"ketu":{"sidereal_longitude":302.1661,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","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":2054,"month":12,"day":4,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2471605.770833,"kali_year":5156,"ahargana":1883140.2708,"sun":{"sidereal_longitude":226.8599,"rashi":8,"rashi_name":"Vṛścika"},"moon":{"sidereal_longitude":283.8392,"rashi":10,"rashi_name":"Makara"},"tithi":{"number":5,"name":"Pañcamī","paksha":"Śukla","full_name":"Śukla Pañcamī","elongation_degrees":56.9793,"elapsed_within_tithi_degrees":8.9793},"nakshatra":{"number":22,"name":"Śravaṇa","pada":2,"moon_longitude":283.8392,"elapsed_within_degrees":3.8392},"yoga":{"number":12,"name":"Dhruva","sum_longitude":150.6991},"karana":{"half_tithi_index":9,"name":"Bālava"},"vara":{"number":0,"name":"Śukravāra (Friday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":1.414,"elongation":56.979},"lunar":{"type":"lunar","occurs":false,"moon_latitude":1.414,"opposition_distance":123.021}},"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":"06:59","sunsetLocal":"17:17","solarNoonLocal":"12:08","dayLengthHours":10.315305622212506,"dayLengthDisplay":"10 Hours 18 Mins 55 Secs","nightLengthDisplay":"13 Hours 41 Mins 05 Secs","moonriseLocal":"10:30","moonsetLocal":"21:07","rahuKala":{"name":"Rāhu Kāla","start":"10:51","end":"12:08","startHours":10.84339972165505,"endHours":12.132812924431615,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"14:43","end":"16:00","startHours":14.711639329984742,"endHours":16.001052532761303,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"08:16","end":"09:33","startHours":8.264573316101924,"endHours":9.553986518878489,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:23","end":"09:44","startHours":9.38206475850828,"endHours":9.725908279248696,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"07:24","end":"07:41","startHours":7.404964514250882,"endHours":7.680039330843216,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:47","end":"12:29","startHours":11.788969403691198,"endHours":12.476656445172033,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"05:36","end":"06:17","startHours":5.599786030363694,"endHours":6.287473071844528,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"06:07","end":"06:59","startHours":6.115551311474319,"endHours":6.975160113325361,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"13:51","end":"14:32","startHours":13.8520305281337,"endHours":14.539717569614533,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:05","end":"17:29","startHours":17.09046573553787,"endHours":17.490465735537867,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:17","end":"17:43","startHours":17.290465735537868,"endHours":17.72027013646339,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:02","end":"18:47","startHours":17.040465735537868,"endHours":18.790465735537868,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:47","end":"00:29","startHours":23.788969403691198,"endHours":24.476656445172033,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Chala","start":"06:59","end":"08:16","startHours":6.975160113325361,"endHours":8.264573316101924,"quality":"neutral"},{"name":"Labha","start":"08:16","end":"09:33","startHours":8.264573316101924,"endHours":9.553986518878489,"quality":"auspicious"},{"name":"Amṛta","start":"09:33","end":"10:51","startHours":9.553986518878489,"endHours":10.84339972165505,"quality":"auspicious"},{"name":"Kāla","start":"10:51","end":"12:08","startHours":10.84339972165505,"endHours":12.132812924431615,"quality":"inauspicious"},{"name":"Śubha","start":"12:08","end":"13:25","startHours":12.132812924431615,"endHours":13.422226127208177,"quality":"auspicious"},{"name":"Roga","start":"13:25","end":"14:43","startHours":13.422226127208177,"endHours":14.711639329984742,"quality":"inauspicious"},{"name":"Udveg","start":"14:43","end":"16:00","startHours":14.711639329984742,"endHours":16.001052532761303,"quality":"inauspicious"},{"name":"Chala","start":"16:00","end":"17:17","startHours":16.001052532761303,"endHours":17.290465735537868,"quality":"neutral"}],"nightChoghadiyas":[{"name":"Roga","start":"17:17","end":"19:00","startHours":17.290465735537868,"endHours":19.001052532761307,"quality":"inauspicious"},{"name":"Udveg","start":"19:00","end":"20:43","startHours":19.001052532761307,"endHours":20.71163932998474,"quality":"inauspicious"},{"name":"Chala","start":"20:43","end":"22:25","startHours":20.71163932998474,"endHours":22.422226127208177,"quality":"neutral"},{"name":"Labha","start":"22:25","end":"00:08","startHours":22.422226127208177,"endHours":24.132812924431615,"quality":"auspicious"},{"name":"Amṛta","start":"00:08","end":"01:51","startHours":24.132812924431615,"endHours":25.843399721655054,"quality":"auspicious"},{"name":"Kāla","start":"01:51","end":"03:33","startHours":25.843399721655054,"endHours":27.55398651887849,"quality":"inauspicious"},{"name":"Śubha","start":"03:33","end":"05:16","startHours":27.55398651887849,"endHours":29.264573316101924,"quality":"auspicious"},{"name":"Roga","start":"05:16","end":"06:59","startHours":29.264573316101924,"endHours":30.975160113325362,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"06:59","end":"07:59","startHours":6.975160113325361,"endHours":7.975160113325361,"planetary_lord":"Venus"},{"name":"Hora 2","start":"07:59","end":"08:59","startHours":7.975160113325361,"endHours":8.975160113325362,"planetary_lord":"Sun"},{"name":"Hora 3","start":"08:59","end":"09:59","startHours":8.975160113325362,"endHours":9.975160113325362,"planetary_lord":"Mars"},{"name":"Hora 4","start":"09:59","end":"10:59","startHours":9.975160113325362,"endHours":10.975160113325362,"planetary_lord":"Jupiter"},{"name":"Hora 5","start":"10:59","end":"11:59","startHours":10.975160113325362,"endHours":11.975160113325362,"planetary_lord":"Saturn"},{"name":"Hora 6","start":"11:59","end":"12:59","startHours":11.975160113325362,"endHours":12.975160113325362,"planetary_lord":"Moon"},{"name":"Hora 7","start":"12:59","end":"13:59","startHours":12.975160113325362,"endHours":13.975160113325362,"planetary_lord":"Mercury"},{"name":"Hora 8","start":"13:59","end":"14:59","startHours":13.975160113325362,"endHours":14.975160113325362,"planetary_lord":"Venus"},{"name":"Hora 9","start":"14:59","end":"15:59","startHours":14.975160113325362,"endHours":15.975160113325362,"planetary_lord":"Sun"},{"name":"Hora 10","start":"15:59","end":"16:59","startHours":15.975160113325362,"endHours":16.975160113325362,"planetary_lord":"Mars"},{"name":"Hora 11","start":"16:59","end":"17:59","startHours":16.975160113325362,"endHours":17.975160113325362,"planetary_lord":"Jupiter"},{"name":"Hora 12","start":"17:59","end":"18:59","startHours":17.975160113325362,"endHours":18.975160113325362,"planetary_lord":"Saturn"},{"name":"Hora 13","start":"18:59","end":"19:59","startHours":18.975160113325362,"endHours":19.975160113325362,"planetary_lord":"Moon"},{"name":"Hora 14","start":"19:59","end":"20:59","startHours":19.975160113325362,"endHours":20.975160113325362,"planetary_lord":"Mercury"},{"name":"Hora 15","start":"20:59","end":"21:59","startHours":20.975160113325362,"endHours":21.975160113325362,"planetary_lord":"Venus"},{"name":"Hora 16","start":"21:59","end":"22:59","startHours":21.975160113325362,"endHours":22.975160113325362,"planetary_lord":"Sun"},{"name":"Hora 17","start":"22:59","end":"23:59","startHours":22.975160113325362,"endHours":23.975160113325362,"planetary_lord":"Mars"},{"name":"Hora 18","start":"23:59","end":"00:59","startHours":23.975160113325362,"endHours":24.975160113325362,"planetary_lord":"Jupiter"},{"name":"Hora 19","start":"00:59","end":"01:59","startHours":24.975160113325362,"endHours":25.975160113325362,"planetary_lord":"Saturn"},{"name":"Hora 20","start":"01:59","end":"02:59","startHours":25.975160113325362,"endHours":26.975160113325362,"planetary_lord":"Moon"},{"name":"Hora 21","start":"02:59","end":"03:59","startHours":26.975160113325362,"endHours":27.975160113325362,"planetary_lord":"Mercury"},{"name":"Hora 22","start":"03:59","end":"04:59","startHours":27.975160113325362,"endHours":28.975160113325362,"planetary_lord":"Venus"},{"name":"Hora 23","start":"04:59","end":"05:59","startHours":28.975160113325362,"endHours":29.975160113325362,"planetary_lord":"Sun"},{"name":"Hora 24","start":"05:59","end":"06:59","startHours":29.975160113325362,"endHours":30.975160113325362,"planetary_lord":"Mars"}],"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","Tulā","Vṛścika","Makara","Mīna"],"unfavorable_rashis":["Meṣa","Vṛṣabha","Siṃha","Kanyā","Dhanu","Kumbha"]},"dishaShool":"West (Paścim)","chandraVasa":"South-East","rahuVasa":"South-East","anandadiYoga":{"name":"Padma","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":-22.238707934020375,"eotMinutes":8.960824534103129,"ayanamsa":24.6202}},"calendars":{"vikram_samvat":2111,"vikram_samvatsara":"Sarvajit","saka_samvat":1976,"saka_samvatsara":"Bhāva","bengali_samvat":1461,"malayalam_era":1230,"nanakshahi_year":585,"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 Pañcamī · Vikram 2111 Sarvajit · Śaka 1976 Bhāva"},"festivals":[],"todays_walk":{"walk":{"id":"shukra-walk","name":"Śukra Walk","name_sanskrit":"शुक्र यात्रा","type":"graha","description":"Beauty + creativity in dharma + BG 10.36.","step_count":5,"url":"/walk/shukra-walk"},"reason":"Śukravāra (Friday) — 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 4, 2054 CE · Ṛṣikeśa · Vidhyamitra","description":"December 4, 2054 CE for Ṛṣikeśa: Śukla Pañcamī, sūryodaya 06:59, sūryāsta 17:17.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/rishikesh/2054-12-04","hreflang_alternates":{"en":"https://vidhyamitra.com/city/rishikesh/2054-12-04","sa":"https://sa.vidhyamitra.com/city/rishikesh/2054-12-04","hi":"https://hi.vidhyamitra.com/city/rishikesh/2054-12-04","x-default":"https://vidhyamitra.com/city/rishikesh/2054-12-04"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-06-01T02:37:58.155Z","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":"2026-06-01T02:37:58.155Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-06-01T02:37:58.155Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}