{"id":"vidhyamitra:city-day:rishikesh:2072-12-18:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/rishikesh/2072-12-18","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2072-12-18","date_display":"December 18, 2072 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":"Not independently benchmarked across the declared range","tradition_chain":"Āryabhaṭa(499) → Brahmagupta(628) → Bhāskara II(1150) → Mādhava(~1400) → Parameśvara(1430) → Nīlakaṇṭha(1501) → this","input":{"year":2072,"month":12,"day":18,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2478194.770833,"kali_year":5174,"ahargana":1889729.2708,"sun":{"sidereal_longitude":241.5546,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":337.5784,"rashi":12,"rashi_name":"Mīna"},"tithi":{"number":9,"name":"Navamī","paksha":"Śukla","full_name":"Śukla Navamī","elongation_degrees":96.0238,"elapsed_within_tithi_degrees":0.0238},"nakshatra":{"number":26,"name":"Uttara Bhādrapadā","pada":2,"moon_longitude":337.5784,"elapsed_within_degrees":4.245},"yoga":{"number":17,"name":"Vyatīpāta","sum_longitude":219.133},"karana":{"half_tithi_index":16,"name":"Bālava"},"vara":{"number":2,"name":"Ravivāra (Sunday)"}},"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":2072,"month":12,"day":18,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2478194.770833,"ahargana":1889729.2708,"kali_year":5174,"ayanamsa_lahiri":24.8723,"grahas":{"sun":{"sidereal_longitude":242.08989299999996,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":1},"retrograde":false},"moon":{"sidereal_longitude":337.031193,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":26,"name":"Uttara Bhādrapadā","pada":2},"retrograde":false,"latitude":-1.8666},"mars":{"sidereal_longitude":244.218393,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":2},"retrograde":false},"mercury":{"sidereal_longitude":232.68719299999998,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":2},"retrograde":false},"jupiter":{"sidereal_longitude":70.901793,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":6,"name":"Ārdrā","pada":2},"retrograde":true},"venus":{"sidereal_longitude":288.070193,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":22,"name":"Śravaṇa","pada":3},"retrograde":false},"saturn":{"sidereal_longitude":205.35039299999994,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":16,"name":"Viśākhā","pada":2},"retrograde":false},"rahu":{"sidereal_longitude":133.0492,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":10,"name":"Maghā","pada":4},"retrograde":false},"ketu":{"sidereal_longitude":313.0492,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":24,"name":"Śatabhiṣā","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":"Not independently benchmarked across the declared range","tradition_chain":"Āryabhaṭa(499) → Brahmagupta(628) → Bhāskara II(1150) → Mādhava(~1400) → Parameśvara(1430) → Nīlakaṇṭha(1501) → this","input":{"year":2072,"month":12,"day":18,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2478194.770833,"kali_year":5174,"ahargana":1889729.2708,"sun":{"sidereal_longitude":241.5546,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":337.5784,"rashi":12,"rashi_name":"Mīna"},"tithi":{"number":9,"name":"Navamī","paksha":"Śukla","full_name":"Śukla Navamī","elongation_degrees":96.0238,"elapsed_within_tithi_degrees":0.0238},"nakshatra":{"number":26,"name":"Uttara Bhādrapadā","pada":2,"moon_longitude":337.5784,"elapsed_within_degrees":4.245},"yoga":{"number":17,"name":"Vyatīpāta","sum_longitude":219.133},"karana":{"half_tithi_index":16,"name":"Bālava"},"vara":{"number":2,"name":"Ravivāra (Sunday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-1.867,"elongation":96.024},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-1.867,"opposition_distance":83.976}},"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":10.20798336028881,"dayLengthDisplay":"10 Hours 12 Mins 29 Secs","nightLengthDisplay":"13 Hours 47 Mins 31 Secs","moonriseLocal":"12:29","moonsetLocal":"00:38","rahuKala":{"name":"Rāhu Kāla","start":"16:04","end":"17:20","startHours":16.063691637639284,"endHours":17.339689557675385,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"12:14","end":"13:31","startHours":12.235697877530981,"endHours":13.511695797567082,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"14:47","end":"16:04","startHours":14.787693717603183,"endHours":16.063691637639284,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:31","end":"09:51","startHours":9.513568981453965,"endHours":9.85383509346359,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"07:33","end":"07:50","startHours":7.557038837398609,"endHours":7.8292517270063104,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:54","end":"12:35","startHours":11.895431765521353,"endHours":12.575963989540606,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"05:46","end":"06:27","startHours":5.770641749348067,"endHours":6.451173973367321,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"06:17","end":"07:08","startHours":6.281040917362508,"endHours":7.131706197386575,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"13:56","end":"14:37","startHours":13.937028437579116,"endHours":14.61756066159837,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:08","end":"17:32","startHours":17.139689557675386,"endHours":17.539689557675384,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:20","end":"17:46","startHours":17.339689557675385,"endHours":17.76502219768742,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:05","end":"18:50","startHours":17.089689557675385,"endHours":18.839689557675385,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:54","end":"00:35","startHours":23.895431765521355,"endHours":24.575963989540607,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Udveg","start":"07:08","end":"08:24","startHours":7.131706197386575,"endHours":8.407704117422677,"quality":"inauspicious"},{"name":"Chala","start":"08:24","end":"09:41","startHours":8.407704117422677,"endHours":9.683702037458778,"quality":"neutral"},{"name":"Labha","start":"09:41","end":"10:58","startHours":9.683702037458778,"endHours":10.959699957494879,"quality":"auspicious"},{"name":"Amṛta","start":"10:58","end":"12:14","startHours":10.959699957494879,"endHours":12.235697877530981,"quality":"auspicious"},{"name":"Kāla","start":"12:14","end":"13:31","startHours":12.235697877530981,"endHours":13.511695797567082,"quality":"inauspicious"},{"name":"Śubha","start":"13:31","end":"14:47","startHours":13.511695797567082,"endHours":14.787693717603183,"quality":"auspicious"},{"name":"Roga","start":"14:47","end":"16:04","startHours":14.787693717603183,"endHours":16.063691637639284,"quality":"inauspicious"},{"name":"Udveg","start":"16:04","end":"17:20","startHours":16.063691637639284,"endHours":17.339689557675385,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Śubha","start":"17:20","end":"19:04","startHours":17.339689557675385,"endHours":19.063691637639284,"quality":"auspicious"},{"name":"Roga","start":"19:04","end":"20:47","startHours":19.063691637639284,"endHours":20.787693717603183,"quality":"inauspicious"},{"name":"Udveg","start":"20:47","end":"22:31","startHours":20.787693717603183,"endHours":22.51169579756708,"quality":"inauspicious"},{"name":"Chala","start":"22:31","end":"00:14","startHours":22.51169579756708,"endHours":24.23569787753098,"quality":"neutral"},{"name":"Labha","start":"00:14","end":"01:58","startHours":24.23569787753098,"endHours":25.959699957494877,"quality":"auspicious"},{"name":"Amṛta","start":"01:58","end":"03:41","startHours":25.959699957494877,"endHours":27.683702037458776,"quality":"auspicious"},{"name":"Kāla","start":"03:41","end":"05:24","startHours":27.683702037458776,"endHours":29.407704117422675,"quality":"inauspicious"},{"name":"Śubha","start":"05:24","end":"07:08","startHours":29.407704117422675,"endHours":31.131706197386574,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"07:08","end":"08:08","startHours":7.131706197386575,"endHours":8.131706197386574,"planetary_lord":"Sun"},{"name":"Hora 2","start":"08:08","end":"09:08","startHours":8.131706197386574,"endHours":9.131706197386574,"planetary_lord":"Mars"},{"name":"Hora 3","start":"09:08","end":"10:08","startHours":9.131706197386574,"endHours":10.131706197386574,"planetary_lord":"Jupiter"},{"name":"Hora 4","start":"10:08","end":"11:08","startHours":10.131706197386574,"endHours":11.131706197386574,"planetary_lord":"Saturn"},{"name":"Hora 5","start":"11:08","end":"12:08","startHours":11.131706197386574,"endHours":12.131706197386574,"planetary_lord":"Moon"},{"name":"Hora 6","start":"12:08","end":"13:08","startHours":12.131706197386574,"endHours":13.131706197386574,"planetary_lord":"Mercury"},{"name":"Hora 7","start":"13:08","end":"14:08","startHours":13.131706197386574,"endHours":14.131706197386574,"planetary_lord":"Venus"},{"name":"Hora 8","start":"14:08","end":"15:08","startHours":14.131706197386574,"endHours":15.131706197386574,"planetary_lord":"Sun"},{"name":"Hora 9","start":"15:08","end":"16:08","startHours":15.131706197386574,"endHours":16.131706197386574,"planetary_lord":"Mars"},{"name":"Hora 10","start":"16:08","end":"17:08","startHours":16.131706197386574,"endHours":17.131706197386574,"planetary_lord":"Jupiter"},{"name":"Hora 11","start":"17:08","end":"18:08","startHours":17.131706197386574,"endHours":18.131706197386574,"planetary_lord":"Saturn"},{"name":"Hora 12","start":"18:08","end":"19:08","startHours":18.131706197386574,"endHours":19.131706197386574,"planetary_lord":"Moon"},{"name":"Hora 13","start":"19:08","end":"20:08","startHours":19.131706197386574,"endHours":20.131706197386574,"planetary_lord":"Mercury"},{"name":"Hora 14","start":"20:08","end":"21:08","startHours":20.131706197386574,"endHours":21.131706197386574,"planetary_lord":"Venus"},{"name":"Hora 15","start":"21:08","end":"22:08","startHours":21.131706197386574,"endHours":22.131706197386574,"planetary_lord":"Sun"},{"name":"Hora 16","start":"22:08","end":"23:08","startHours":22.131706197386574,"endHours":23.131706197386574,"planetary_lord":"Mars"},{"name":"Hora 17","start":"23:08","end":"00:08","startHours":23.131706197386574,"endHours":24.131706197386574,"planetary_lord":"Jupiter"},{"name":"Hora 18","start":"00:08","end":"01:08","startHours":24.131706197386574,"endHours":25.131706197386574,"planetary_lord":"Saturn"},{"name":"Hora 19","start":"01:08","end":"02:08","startHours":25.131706197386574,"endHours":26.131706197386574,"planetary_lord":"Moon"},{"name":"Hora 20","start":"02:08","end":"03:08","startHours":26.131706197386574,"endHours":27.131706197386574,"planetary_lord":"Mercury"},{"name":"Hora 21","start":"03:08","end":"04:08","startHours":27.131706197386574,"endHours":28.131706197386574,"planetary_lord":"Venus"},{"name":"Hora 22","start":"04:08","end":"05:08","startHours":28.131706197386574,"endHours":29.131706197386574,"planetary_lord":"Sun"},{"name":"Hora 23","start":"05:08","end":"06:08","startHours":29.131706197386574,"endHours":30.131706197386574,"planetary_lord":"Mars"},{"name":"Hora 24","start":"06:08","end":"07:08","startHours":30.131706197386574,"endHours":31.131706197386574,"planetary_lord":"Jupiter"}],"taraBala":{"favorable_nakshatras":["Aśvinī","Bharaṇī","Kṛttikā","Rohiṇī","Aśleṣā","Maghā","Pūrva Phalgunī","Uttara Phalgunī","Hasta","Jyeṣṭhā","Mūla","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Śravaṇa","Revatī"],"unfavorable_nakshatras":["Mṛgaśirā","Ārdrā","Punarvasu","Puṣya","Citrā","Svātī","Viśākhā","Anurādhā","Dhaniṣṭhā","Śatabhiṣaj","Pūrva Bhādrapadā","Uttara Bhādrapadā"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Vṛṣabha","Siṃha","Kanyā","Dhanu","Makara","Mīna"],"unfavorable_rashis":["Meṣa","Mithuna","Karka","Tulā","Vṛścika","Kumbha"]},"dishaShool":"West (Paścim)","chandraVasa":"South-West","rahuVasa":"North-East","anandadiYoga":{"name":"Cara","quality":"Auspicious"},"tropicalRitu":"Hemanta (Pre-winter)","vedicRitu":"Hemanta (Pre-winter)","tropicalAyana":"Dakṣiṇāyana","vedicAyana":"Dakṣiṇāyana","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":-23.401602608094535,"eotMinutes":2.787727348141232,"ayanamsa":24.8723}},"calendars":{"vikram_samvat":2129,"vikram_samvatsara":"Viśvāvasu","saka_samvat":1994,"saka_samvatsara":"Nandana","bengali_samvat":1479,"malayalam_era":1248,"nanakshahi_year":603,"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":"Dhanus (Mārgaḻi)","ritu":"Hemanta (Pre-winter)","display_summary":"Mārgaśīrṣa Śukla Navamī · Vikram 2129 Viśvāvasu · Śaka 1994 Nandana"},"festivals":[],"todays_walk":{"walk":{"id":"surya-walk","name":"Sūrya Walk","name_sanskrit":"सूर्य यात्रा","type":"graha","description":"Self-illumination + BG 4.1 (Sun-lineage of Gītā transmission).","step_count":6,"url":"/walk/surya-walk"},"reason":"Ravivāra (Sunday) — 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, 2072 CE · Ṛṣikeśa · Vidhyamitra","description":"December 18, 2072 CE for Ṛṣikeśa: Śukla Navamī, sūryodaya 07:08, sūryāsta 17:20.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/rishikesh/2072-12-18","hreflang_alternates":{"en":"https://vidhyamitra.com/city/rishikesh/2072-12-18","sa":"https://sa.vidhyamitra.com/city/rishikesh/2072-12-18","hi":"https://hi.vidhyamitra.com/city/rishikesh/2072-12-18","x-default":"https://vidhyamitra.com/city/rishikesh/2072-12-18"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-09-05T05:02:42.471Z","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":"2026-09-05T05:02:42.471Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-09-05T05:02:42.471Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"},"reader_local_antaryami":{"reader_geography":"Every reader enters from their own kṣetra anywhere on Bhūmi; no single city is the universal center.","purna_chain":["Hosted scripture","Named-tradition interpretation","Original Vidhyamitra contemplation","Bhūmi-born material medium","Vidhyamitra portal","Responsible reader in their own kṣetra"],"claim_boundary":"The legacy purna_chain field carries a source-to-reader sequence, not a revealed physical descent, universal cosmology, or proof that software is conscious.","antaryami_responsibility_formula":"Kṣīrodakaśāyī Viṣṇu = Paramātmā = Antaryāmī. Jīva desires. Prakṛti executes through guṇas. Paramātmā witnesses, permits, remembers, guides, and sustains. Bhagavān is the ultimate source.","source_anchors":[{"label":"BG 13.23","path":"/bhagavad-gita/13/23","meaning":"upadraṣṭā-anumantā · witness-permitter"},{"label":"BG 15.15","path":"/bhagavad-gita/15/15","meaning":"the Lord seated in every heart as memory, knowledge, and forgetting"},{"label":"BG 18.61","path":"/bhagavad-gita/18/61","meaning":"Īśvara seated in the heart of all beings"}],"nama_seal":"Hare Krishna Hare Krishna · Krishna Krishna Hare Hare · Hare Rama Hare Rama · Rama Rama Hare Hare"}}}