{"id":"vidhyamitra:city-day:boston:2013-08-04:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/boston/2013-08-04","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2013-08-04","date_display":"August 4, 2013 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":2013,"month":8,"day":4,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2456508.770833,"kali_year":5115,"ahargana":1868043.2708,"sun":{"sidereal_longitude":107.214,"rashi":4,"rashi_name":"Karka"},"moon":{"sidereal_longitude":74.3152,"rashi":3,"rashi_name":"Mithuna"},"tithi":{"number":28,"name":"Trayodaśī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Trayodaśī","elongation_degrees":327.1012,"elapsed_within_tithi_degrees":3.1012},"nakshatra":{"number":6,"name":"Ārdrā","pada":3,"moon_longitude":74.3152,"elapsed_within_degrees":7.6485},"yoga":{"number":14,"name":"Harṣaṇa","sum_longitude":181.5292},"karana":{"half_tithi_index":54,"name":"Gara"},"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":2013,"month":8,"day":4,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2456508.770833,"ahargana":1868043.2708,"kali_year":5115,"ayanamsa_lahiri":24.0428,"grahas":{"sun":{"sidereal_longitude":107.799958,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":9,"name":"Aśleṣā","pada":1},"retrograde":false},"moon":{"sidereal_longitude":76.02025800000001,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":6,"name":"Ārdrā","pada":3},"retrograde":false,"latitude":-3.5561},"mars":{"sidereal_longitude":80.15375799999998,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":7,"name":"Punarvasu","pada":1},"retrograde":false},"mercury":{"sidereal_longitude":88.90925800000002,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":7,"name":"Punarvasu","pada":3},"retrograde":false},"jupiter":{"sidereal_longitude":74.05485799999997,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":6,"name":"Ārdrā","pada":3},"retrograde":false},"venus":{"sidereal_longitude":140.766058,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","pada":3},"retrograde":false},"saturn":{"sidereal_longitude":191.10575799999992,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":15,"name":"Svātī","pada":2},"retrograde":false},"rahu":{"sidereal_longitude":202.0779,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":16,"name":"Viśākhā","pada":1},"retrograde":false},"ketu":{"sidereal_longitude":22.0779,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":2,"name":"Bharaṇī","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":"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":2013,"month":8,"day":4,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2456508.770833,"kali_year":5115,"ahargana":1868043.2708,"sun":{"sidereal_longitude":107.214,"rashi":4,"rashi_name":"Karka"},"moon":{"sidereal_longitude":74.3152,"rashi":3,"rashi_name":"Mithuna"},"tithi":{"number":28,"name":"Trayodaśī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Trayodaśī","elongation_degrees":327.1012,"elapsed_within_tithi_degrees":3.1012},"nakshatra":{"number":6,"name":"Ārdrā","pada":3,"moon_longitude":74.3152,"elapsed_within_degrees":7.6485},"yoga":{"number":14,"name":"Harṣaṇa","sum_longitude":181.5292},"karana":{"half_tithi_index":54,"name":"Gara"},"vara":{"number":2,"name":"Ravivāra (Sunday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-3.556,"elongation":32.899},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-3.556,"opposition_distance":147.101}},"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":"04:39","sunsetLocal":"19:01","solarNoonLocal":"11:50","dayLengthHours":14.355611299324941,"dayLengthDisplay":"14 Hours 21 Mins 20 Secs","nightLengthDisplay":"9 Hours 38 Mins 40 Secs","moonriseLocal":"02:08","moonsetLocal":"17:18","rahuKala":{"name":"Rāhu Kāla","start":"17:13","end":"19:01","startHours":17.21717866164748,"endHours":19.0116300740631,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"11:50","end":"13:38","startHours":11.833824424400628,"endHours":13.628275836816247,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"15:25","end":"17:13","startHours":15.422727249231865,"endHours":17.21717866164748,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:00","end":"08:29","startHours":8.005661411247312,"endHours":8.484181787891476,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"05:15","end":"05:38","startHours":5.254169245543364,"endHours":5.636985546858696,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:21","end":"12:19","startHours":11.355304047756464,"endHours":12.312344801044793,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"02:45","end":"03:42","startHours":2.7419372681614997,"endHours":3.698978021449829,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"03:28","end":"04:39","startHours":3.4597178331277467,"endHours":4.6560187747381585,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:14","end":"15:11","startHours":14.226426307621452,"endHours":15.18346706090978,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"18:49","end":"19:13","startHours":18.8116300740631,"endHours":19.2116300740631,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"19:01","end":"19:37","startHours":19.0116300740631,"endHours":19.609780544868304,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"18:46","end":"20:31","startHours":18.7616300740631,"endHours":20.5116300740631,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:21","end":"00:19","startHours":23.355304047756462,"endHours":24.312344801044794,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Udveg","start":"04:39","end":"06:27","startHours":4.6560187747381585,"endHours":6.450470187153776,"quality":"inauspicious"},{"name":"Chala","start":"06:27","end":"08:15","startHours":6.450470187153776,"endHours":8.244921599569395,"quality":"neutral"},{"name":"Labha","start":"08:15","end":"10:02","startHours":8.244921599569395,"endHours":10.039373011985012,"quality":"auspicious"},{"name":"Amṛta","start":"10:02","end":"11:50","startHours":10.039373011985012,"endHours":11.833824424400628,"quality":"auspicious"},{"name":"Kāla","start":"11:50","end":"13:38","startHours":11.833824424400628,"endHours":13.628275836816247,"quality":"inauspicious"},{"name":"Śubha","start":"13:38","end":"15:25","startHours":13.628275836816247,"endHours":15.422727249231865,"quality":"auspicious"},{"name":"Roga","start":"15:25","end":"17:13","startHours":15.422727249231865,"endHours":17.21717866164748,"quality":"inauspicious"},{"name":"Udveg","start":"17:13","end":"19:01","startHours":17.21717866164748,"endHours":19.0116300740631,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Śubha","start":"19:01","end":"20:13","startHours":19.0116300740631,"endHours":20.21717866164748,"quality":"auspicious"},{"name":"Roga","start":"20:13","end":"21:25","startHours":20.21717866164748,"endHours":21.422727249231862,"quality":"inauspicious"},{"name":"Udveg","start":"21:25","end":"22:38","startHours":21.422727249231862,"endHours":22.628275836816247,"quality":"inauspicious"},{"name":"Chala","start":"22:38","end":"23:50","startHours":22.628275836816247,"endHours":23.83382442440063,"quality":"neutral"},{"name":"Labha","start":"23:50","end":"01:02","startHours":23.83382442440063,"endHours":25.03937301198501,"quality":"auspicious"},{"name":"Amṛta","start":"01:02","end":"02:15","startHours":25.03937301198501,"endHours":26.244921599569395,"quality":"auspicious"},{"name":"Kāla","start":"02:15","end":"03:27","startHours":26.244921599569395,"endHours":27.450470187153776,"quality":"inauspicious"},{"name":"Śubha","start":"03:27","end":"04:39","startHours":27.450470187153776,"endHours":28.656018774738158,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"04:39","end":"05:39","startHours":4.6560187747381585,"endHours":5.6560187747381585,"planetary_lord":"Sun"},{"name":"Hora 2","start":"05:39","end":"06:39","startHours":5.6560187747381585,"endHours":6.6560187747381585,"planetary_lord":"Mars"},{"name":"Hora 3","start":"06:39","end":"07:39","startHours":6.6560187747381585,"endHours":7.6560187747381585,"planetary_lord":"Jupiter"},{"name":"Hora 4","start":"07:39","end":"08:39","startHours":7.6560187747381585,"endHours":8.656018774738158,"planetary_lord":"Saturn"},{"name":"Hora 5","start":"08:39","end":"09:39","startHours":8.656018774738158,"endHours":9.656018774738158,"planetary_lord":"Moon"},{"name":"Hora 6","start":"09:39","end":"10:39","startHours":9.656018774738158,"endHours":10.656018774738158,"planetary_lord":"Mercury"},{"name":"Hora 7","start":"10:39","end":"11:39","startHours":10.656018774738158,"endHours":11.656018774738158,"planetary_lord":"Venus"},{"name":"Hora 8","start":"11:39","end":"12:39","startHours":11.656018774738158,"endHours":12.656018774738158,"planetary_lord":"Sun"},{"name":"Hora 9","start":"12:39","end":"13:39","startHours":12.656018774738158,"endHours":13.656018774738158,"planetary_lord":"Mars"},{"name":"Hora 10","start":"13:39","end":"14:39","startHours":13.656018774738158,"endHours":14.656018774738158,"planetary_lord":"Jupiter"},{"name":"Hora 11","start":"14:39","end":"15:39","startHours":14.656018774738158,"endHours":15.656018774738158,"planetary_lord":"Saturn"},{"name":"Hora 12","start":"15:39","end":"16:39","startHours":15.656018774738158,"endHours":16.656018774738158,"planetary_lord":"Moon"},{"name":"Hora 13","start":"16:39","end":"17:39","startHours":16.656018774738158,"endHours":17.656018774738158,"planetary_lord":"Mercury"},{"name":"Hora 14","start":"17:39","end":"18:39","startHours":17.656018774738158,"endHours":18.656018774738158,"planetary_lord":"Venus"},{"name":"Hora 15","start":"18:39","end":"19:39","startHours":18.656018774738158,"endHours":19.656018774738158,"planetary_lord":"Sun"},{"name":"Hora 16","start":"19:39","end":"20:39","startHours":19.656018774738158,"endHours":20.656018774738158,"planetary_lord":"Mars"},{"name":"Hora 17","start":"20:39","end":"21:39","startHours":20.656018774738158,"endHours":21.656018774738158,"planetary_lord":"Jupiter"},{"name":"Hora 18","start":"21:39","end":"22:39","startHours":21.656018774738158,"endHours":22.656018774738158,"planetary_lord":"Saturn"},{"name":"Hora 19","start":"22:39","end":"23:39","startHours":22.656018774738158,"endHours":23.656018774738158,"planetary_lord":"Moon"},{"name":"Hora 20","start":"23:39","end":"00:39","startHours":23.656018774738158,"endHours":24.656018774738158,"planetary_lord":"Mercury"},{"name":"Hora 21","start":"00:39","end":"01:39","startHours":24.656018774738158,"endHours":25.656018774738158,"planetary_lord":"Venus"},{"name":"Hora 22","start":"01:39","end":"02:39","startHours":25.656018774738158,"endHours":26.656018774738158,"planetary_lord":"Sun"},{"name":"Hora 23","start":"02:39","end":"03:39","startHours":26.656018774738158,"endHours":27.656018774738158,"planetary_lord":"Mars"},{"name":"Hora 24","start":"03:39","end":"04:39","startHours":27.656018774738158,"endHours":28.656018774738158,"planetary_lord":"Jupiter"}],"taraBala":{"favorable_nakshatras":["Aśvinī","Bharaṇī","Punarvasu","Puṣya","Aśleṣā","Maghā","Pūrva Phalgunī","Viśākhā","Anurādhā","Jyeṣṭhā","Mūla","Pūrva Āṣāḍhā","Pūrva Bhādrapadā","Uttara Bhādrapadā","Revatī"],"unfavorable_nakshatras":["Kṛttikā","Rohiṇī","Mṛgaśirā","Ārdrā","Uttara Phalgunī","Hasta","Citrā","Svātī","Uttara Āṣāḍhā","Śravaṇa","Dhaniṣṭhā","Śatabhiṣaj"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Meṣa","Mithuna","Siṃha","Vṛścika","Dhanu","Mīna"],"unfavorable_rashis":["Vṛṣabha","Karka","Kanyā","Tulā","Makara","Kumbha"]},"dishaShool":"West (Paścim)","chandraVasa":"South","rahuVasa":"North-East","anandadiYoga":{"name":"Dhvānkṣa","quality":"Inauspicious"},"tropicalRitu":"Varṣā (Monsoon) (tropical)","vedicRitu":"Grīṣma (Summer)","tropicalAyana":"Dakṣiṇāyana","vedicAyana":"Dakṣiṇāyana","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":17.235632503570436,"eotMinutes":-5.793865464037833,"ayanamsa":24.0428}},"calendars":{"vikram_samvat":2070,"vikram_samvatsara":"Parābhava","saka_samvat":1935,"saka_samvatsara":"Vijaya","bengali_samvat":1420,"malayalam_era":1189,"nanakshahi_year":544,"lunar_month":"Śrāvaṇa","lunar_month_paksha_full":"Śrāvaṇa Kṛṣṇa Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Śrāvaṇa","lunar_month_amanta":"Āṣāḍha","lunar_month_is_adhika":false,"lunar_month_purnimanta_is_adhika":false,"lunar_month_amanta_is_adhika":false,"solar_month":"Karkaṭa (Āḍi)","ritu":"Varṣā (Monsoon)","display_summary":"Śrāvaṇa Kṛṣṇa Trayodaśī · Vikram 2070 Parābhava · Śaka 1935 Vijaya"},"festivals":[{"id":"pradosha-vrata","name":"Pradoṣa Vrata","name_sanskrit":"प्रदोष व्रत","tradition":"Shaiva","associated_deity":"Śiva","significance":"Twilight worship of Śiva on Trayodaśī.","vrata":true,"detection":{"any_of":[{"tithi_number":13},{"tithi_number":28}]},"precedence":7}],"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":"Dedicated festival walk for Pradoṣa Vrata is not live yet; Ravivāra (Sunday) — 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 August 4, 2013 CE · Boston, USA · Vidhyamitra","description":"August 4, 2013 CE for Boston, USA: Kṛṣṇa Trayodaśī, sūryodaya 04:39, sūryāsta 19:01.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/boston/2013-08-04","hreflang_alternates":{"en":"https://vidhyamitra.com/city/boston/2013-08-04","sa":"https://sa.vidhyamitra.com/city/boston/2013-08-04","hi":"https://hi.vidhyamitra.com/city/boston/2013-08-04","x-default":"https://vidhyamitra.com/city/boston/2013-08-04"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-08-10T10:46:29.040Z","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":"2026-08-10T10:46:29.040Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-08-10T10:46:29.040Z","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"}}}