{"id":"vidhyamitra:city-day:boston:2040-12-07:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/boston/2040-12-07","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2040-12-07","date_display":"December 7, 2040 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":2040,"month":12,"day":7,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2466495.770833,"kali_year":5142,"ahargana":1878030.2708,"sun":{"sidereal_longitude":230.5653,"rashi":8,"rashi_name":"Vṛścika"},"moon":{"sidereal_longitude":265.2982,"rashi":9,"rashi_name":"Dhanu"},"tithi":{"number":3,"name":"Tṛtīyā","paksha":"Śukla","full_name":"Śukla Tṛtīyā","elongation_degrees":34.7329,"elapsed_within_tithi_degrees":10.7329},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":4,"moon_longitude":265.2982,"elapsed_within_degrees":11.9648},"yoga":{"number":11,"name":"Vṛddhi","sum_longitude":135.8634},"karana":{"half_tithi_index":5,"name":"Gara"},"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":2040,"month":12,"day":7,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2466495.770833,"ahargana":1878030.2708,"kali_year":5142,"ayanamsa_lahiri":24.4248,"grahas":{"sun":{"sidereal_longitude":231.11638100000005,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":2},"retrograde":false},"moon":{"sidereal_longitude":268.417681,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":1},"retrograde":false,"latitude":-3.563},"mars":{"sidereal_longitude":233.44068100000004,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":3},"retrograde":false},"mercury":{"sidereal_longitude":226.38798099999997,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":17,"name":"Anurādhā","pada":4},"retrograde":false},"jupiter":{"sidereal_longitude":180.12688100000003,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":14,"name":"Citrā","pada":3},"retrograde":false},"venus":{"sidereal_longitude":275.56738100000007,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":3},"retrograde":false},"saturn":{"sidereal_longitude":176.57028100000002,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":14,"name":"Citrā","pada":1},"retrograde":false},"rahu":{"sidereal_longitude":32.9185,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":3,"name":"Kṛttikā","pada":2},"retrograde":false},"ketu":{"sidereal_longitude":212.9185,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":16,"name":"Viśākhā","pada":4},"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":2040,"month":12,"day":7,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2466495.770833,"kali_year":5142,"ahargana":1878030.2708,"sun":{"sidereal_longitude":230.5653,"rashi":8,"rashi_name":"Vṛścika"},"moon":{"sidereal_longitude":265.2982,"rashi":9,"rashi_name":"Dhanu"},"tithi":{"number":3,"name":"Tṛtīyā","paksha":"Śukla","full_name":"Śukla Tṛtīyā","elongation_degrees":34.7329,"elapsed_within_tithi_degrees":10.7329},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":4,"moon_longitude":265.2982,"elapsed_within_degrees":11.9648},"yoga":{"number":11,"name":"Vṛddhi","sum_longitude":135.8634},"karana":{"half_tithi_index":5,"name":"Gara"},"vara":{"number":0,"name":"Śukravāra (Friday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-3.563,"elongation":34.733},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-3.563,"opposition_distance":145.267}},"eclipse_window_40days":[]},"city":{"slug":"boston","name":"Boston, USA","lat":42.3601,"lon":-71.0589,"tz_offset_hours":-5,"country":"US","tier":"diaspora"},"tier2":{"city":{"slug":"boston","name":"Boston, USA","lat":42.3601,"lon":-71.0589,"tz_offset_hours":-5,"country":"US","tier":"diaspora"},"sunriseLocal":"07:01","sunsetLocal":"16:12","solarNoonLocal":"11:37","dayLengthHours":9.193019419398988,"dayLengthDisplay":"9 Hours 11 Mins 35 Secs","nightLengthDisplay":"14 Hours 48 Mins 25 Secs","moonriseLocal":"09:26","moonsetLocal":"18:45","rahuKala":{"name":"Rāhu Kāla","start":"10:28","end":"11:37","startHours":10.45940429718617,"endHours":11.608531724611044,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"13:54","end":"15:03","startHours":13.90678657946079,"endHours":15.055914006885663,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"08:10","end":"09:19","startHours":8.161149442336423,"endHours":9.310276869761296,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:09","end":"09:28","startHours":9.15705987943798,"endHours":9.463493860084613,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"07:24","end":"07:38","startHours":7.39506449071984,"endHours":7.640211675237147,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:18","end":"11:55","startHours":11.302097743964412,"endHours":11.914965705257677,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"05:47","end":"06:24","startHours":5.7862860923250174,"endHours":6.399154053618283,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"06:15","end":"07:01","startHours":6.245937063294967,"endHours":7.012022014911549,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"13:08","end":"13:45","startHours":13.140701627844209,"endHours":13.753569589137474,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"16:00","end":"16:24","startHours":16.005041434310538,"endHours":16.405041434310537,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"16:12","end":"16:35","startHours":16.205041434310537,"endHours":16.58808391011883,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"15:57","end":"17:42","startHours":15.955041434310537,"endHours":17.705041434310537,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:18","end":"23:55","startHours":23.30209774396441,"endHours":23.91496570525768,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Chala","start":"07:01","end":"08:10","startHours":7.012022014911549,"endHours":8.161149442336423,"quality":"neutral"},{"name":"Labha","start":"08:10","end":"09:19","startHours":8.161149442336423,"endHours":9.310276869761296,"quality":"auspicious"},{"name":"Amṛta","start":"09:19","end":"10:28","startHours":9.310276869761296,"endHours":10.45940429718617,"quality":"auspicious"},{"name":"Kāla","start":"10:28","end":"11:37","startHours":10.45940429718617,"endHours":11.608531724611044,"quality":"inauspicious"},{"name":"Śubha","start":"11:37","end":"12:45","startHours":11.608531724611044,"endHours":12.757659152035917,"quality":"auspicious"},{"name":"Roga","start":"12:45","end":"13:54","startHours":12.757659152035917,"endHours":13.90678657946079,"quality":"inauspicious"},{"name":"Udveg","start":"13:54","end":"15:03","startHours":13.90678657946079,"endHours":15.055914006885663,"quality":"inauspicious"},{"name":"Chala","start":"15:03","end":"16:12","startHours":15.055914006885663,"endHours":16.205041434310537,"quality":"neutral"}],"nightChoghadiyas":[{"name":"Roga","start":"16:12","end":"18:03","startHours":16.205041434310537,"endHours":18.055914006885665,"quality":"inauspicious"},{"name":"Udveg","start":"18:03","end":"19:54","startHours":18.055914006885665,"endHours":19.90678657946079,"quality":"inauspicious"},{"name":"Chala","start":"19:54","end":"21:45","startHours":19.90678657946079,"endHours":21.757659152035917,"quality":"neutral"},{"name":"Labha","start":"21:45","end":"23:37","startHours":21.757659152035917,"endHours":23.608531724611044,"quality":"auspicious"},{"name":"Amṛta","start":"23:37","end":"01:28","startHours":23.608531724611044,"endHours":25.45940429718617,"quality":"auspicious"},{"name":"Kāla","start":"01:28","end":"03:19","startHours":25.45940429718617,"endHours":27.310276869761296,"quality":"inauspicious"},{"name":"Śubha","start":"03:19","end":"05:10","startHours":27.310276869761296,"endHours":29.161149442336423,"quality":"auspicious"},{"name":"Roga","start":"05:10","end":"07:01","startHours":29.161149442336423,"endHours":31.01202201491155,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"07:01","end":"08:01","startHours":7.012022014911549,"endHours":8.01202201491155,"planetary_lord":"Venus"},{"name":"Hora 2","start":"08:01","end":"09:01","startHours":8.01202201491155,"endHours":9.01202201491155,"planetary_lord":"Sun"},{"name":"Hora 3","start":"09:01","end":"10:01","startHours":9.01202201491155,"endHours":10.01202201491155,"planetary_lord":"Mars"},{"name":"Hora 4","start":"10:01","end":"11:01","startHours":10.01202201491155,"endHours":11.01202201491155,"planetary_lord":"Jupiter"},{"name":"Hora 5","start":"11:01","end":"12:01","startHours":11.01202201491155,"endHours":12.01202201491155,"planetary_lord":"Saturn"},{"name":"Hora 6","start":"12:01","end":"13:01","startHours":12.01202201491155,"endHours":13.01202201491155,"planetary_lord":"Moon"},{"name":"Hora 7","start":"13:01","end":"14:01","startHours":13.01202201491155,"endHours":14.01202201491155,"planetary_lord":"Mercury"},{"name":"Hora 8","start":"14:01","end":"15:01","startHours":14.01202201491155,"endHours":15.01202201491155,"planetary_lord":"Venus"},{"name":"Hora 9","start":"15:01","end":"16:01","startHours":15.01202201491155,"endHours":16.01202201491155,"planetary_lord":"Sun"},{"name":"Hora 10","start":"16:01","end":"17:01","startHours":16.01202201491155,"endHours":17.01202201491155,"planetary_lord":"Mars"},{"name":"Hora 11","start":"17:01","end":"18:01","startHours":17.01202201491155,"endHours":18.01202201491155,"planetary_lord":"Jupiter"},{"name":"Hora 12","start":"18:01","end":"19:01","startHours":18.01202201491155,"endHours":19.01202201491155,"planetary_lord":"Saturn"},{"name":"Hora 13","start":"19:01","end":"20:01","startHours":19.01202201491155,"endHours":20.01202201491155,"planetary_lord":"Moon"},{"name":"Hora 14","start":"20:01","end":"21:01","startHours":20.01202201491155,"endHours":21.01202201491155,"planetary_lord":"Mercury"},{"name":"Hora 15","start":"21:01","end":"22:01","startHours":21.01202201491155,"endHours":22.01202201491155,"planetary_lord":"Venus"},{"name":"Hora 16","start":"22:01","end":"23:01","startHours":22.01202201491155,"endHours":23.01202201491155,"planetary_lord":"Sun"},{"name":"Hora 17","start":"23:01","end":"00:01","startHours":23.01202201491155,"endHours":24.01202201491155,"planetary_lord":"Mars"},{"name":"Hora 18","start":"00:01","end":"01:01","startHours":24.01202201491155,"endHours":25.01202201491155,"planetary_lord":"Jupiter"},{"name":"Hora 19","start":"01:01","end":"02:01","startHours":25.01202201491155,"endHours":26.01202201491155,"planetary_lord":"Saturn"},{"name":"Hora 20","start":"02:01","end":"03:01","startHours":26.01202201491155,"endHours":27.01202201491155,"planetary_lord":"Moon"},{"name":"Hora 21","start":"03:01","end":"04:01","startHours":27.01202201491155,"endHours":28.01202201491155,"planetary_lord":"Mercury"},{"name":"Hora 22","start":"04:01","end":"05:01","startHours":28.01202201491155,"endHours":29.01202201491155,"planetary_lord":"Venus"},{"name":"Hora 23","start":"05:01","end":"06:01","startHours":29.01202201491155,"endHours":30.01202201491155,"planetary_lord":"Sun"},{"name":"Hora 24","start":"06:01","end":"07:01","startHours":30.01202201491155,"endHours":31.01202201491155,"planetary_lord":"Mars"}],"taraBala":{"favorable_nakshatras":["Kṛttikā","Rohiṇī","Mṛgaśirā","Ārdrā","Punarvasu","Uttara Phalgunī","Hasta","Citrā","Svātī","Viśākhā","Uttara Āṣāḍhā","Śravaṇa","Dhaniṣṭhā","Śatabhiṣaj","Pūrva Bhādrapadā"],"unfavorable_nakshatras":["Aśvinī","Bharaṇī","Puṣya","Aśleṣā","Maghā","Pūrva Phalgunī","Anurādhā","Jyeṣṭhā","Mūla","Pūrva Āṣāḍhā","Uttara Bhādrapadā","Revatī"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Vṛṣabha","Mithuna","Kanyā","Tulā","Dhanu","Kumbha"],"unfavorable_rashis":["Meṣa","Karka","Siṃha","Vṛścika","Makara","Mīna"]},"dishaShool":"West (Paścim)","chandraVasa":"East","rahuVasa":"South-East","anandadiYoga":{"name":"Maitra","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":-22.652135134966034,"eotMinutes":7.723696523337262,"ayanamsa":24.4248}},"calendars":{"vikram_samvat":2097,"vikram_samvatsara":"Śrīmukha","saka_samvat":1962,"saka_samvatsara":"Raudra","bengali_samvat":1447,"malayalam_era":1216,"nanakshahi_year":571,"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 Tṛtīyā · Vikram 2097 Śrīmukha · Śaka 1962 Raudra"},"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":"boston"},"liturgical":{"opening":"जय श्री कृष्ण","closing":"ॐ तत् सत्","attribution":"Computed by Vidhyamitra Sūrya-Siddhānta substrate + Vidhyamitra Tier-2 layer"},"seo":{"title":"Pañchāṅga December 7, 2040 CE · Boston, USA · Vidhyamitra","description":"December 7, 2040 CE for Boston, USA: Śukla Tṛtīyā, sūryodaya 07:01, sūryāsta 16:12.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/boston/2040-12-07","hreflang_alternates":{"en":"https://vidhyamitra.com/city/boston/2040-12-07","sa":"https://sa.vidhyamitra.com/city/boston/2040-12-07","hi":"https://hi.vidhyamitra.com/city/boston/2040-12-07","x-default":"https://vidhyamitra.com/city/boston/2040-12-07"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-08-10T11:50:22.043Z","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":"2026-08-10T11:50:22.043Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-08-10T11:50:22.043Z","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":["Goloka/Vraja Rādhā-Krishna","Vaikuṇṭha Lakṣmī-Nārāyaṇa","Mahāviṣṇu/Kāraṇodakaśāyī Viṣṇu","Garbhodakaśāyī Viṣṇu","Brahmā","Kṣīrodaka Paramātmā/Antaryāmī (Kṣīrodakaśāyī Viṣṇu)","Bhūmi","reader's own kṣetra anywhere on Bhūmi","exact reading kṣetra","reader-bhakta","chitta/vāṇī/aṅgulī","keyboard-silicon-pathways","Vidhyāmitra substrate","reader/seer","Krishna"],"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"}}}