{"id":"vidhyamitra:city-day:amarnath:2040-08-18:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/amarnath/2040-08-18","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2040-08-18","date_display":"August 18, 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":8,"day":18,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2466384.770833,"kali_year":5142,"ahargana":1877919.2708,"sun":{"sidereal_longitude":120.5845,"rashi":5,"rashi_name":"Siṃha"},"moon":{"sidereal_longitude":243.0832,"rashi":9,"rashi_name":"Dhanu"},"tithi":{"number":11,"name":"Ekādaśī","paksha":"Śukla","full_name":"Śukla Ekādaśī","elongation_degrees":122.4987,"elapsed_within_tithi_degrees":2.4987},"nakshatra":{"number":19,"name":"Mūla","pada":1,"moon_longitude":243.0832,"elapsed_within_degrees":3.0832},"yoga":{"number":1,"name":"Viṣkambha","sum_longitude":3.6677},"karana":{"half_tithi_index":20,"name":"Vaṇija"},"vara":{"number":1,"name":"Śanivāra (Saturday)"}},"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":8,"day":18,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2466384.770833,"ahargana":1877919.2708,"kali_year":5142,"ayanamsa_lahiri":24.4206,"grahas":{"sun":{"sidereal_longitude":121.31062199999997,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":10,"name":"Maghā","pada":1},"retrograde":false},"moon":{"sidereal_longitude":240.73922200000004,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":1},"retrograde":false,"latitude":-1.849},"mars":{"sidereal_longitude":157.245222,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":12,"name":"Uttara Phalgunī","pada":4},"retrograde":false},"mercury":{"sidereal_longitude":125.66212200000001,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":10,"name":"Maghā","pada":2},"retrograde":false},"jupiter":{"sidereal_longitude":157.27122199999997,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":12,"name":"Uttara Phalgunī","pada":4},"retrograde":false},"venus":{"sidereal_longitude":142.22682199999997,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","pada":3},"retrograde":false},"saturn":{"sidereal_longitude":164.04032200000006,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":13,"name":"Hasta","pada":2},"retrograde":false},"rahu":{"sidereal_longitude":38.7999,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":3,"name":"Kṛttikā","pada":4},"retrograde":false},"ketu":{"sidereal_longitude":218.7999,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":17,"name":"Anurādhā","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":2040,"month":8,"day":18,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2466384.770833,"kali_year":5142,"ahargana":1877919.2708,"sun":{"sidereal_longitude":120.5845,"rashi":5,"rashi_name":"Siṃha"},"moon":{"sidereal_longitude":243.0832,"rashi":9,"rashi_name":"Dhanu"},"tithi":{"number":11,"name":"Ekādaśī","paksha":"Śukla","full_name":"Śukla Ekādaśī","elongation_degrees":122.4987,"elapsed_within_tithi_degrees":2.4987},"nakshatra":{"number":19,"name":"Mūla","pada":1,"moon_longitude":243.0832,"elapsed_within_degrees":3.0832},"yoga":{"number":1,"name":"Viṣkambha","sum_longitude":3.6677},"karana":{"half_tithi_index":20,"name":"Vaṇija"},"vara":{"number":1,"name":"Śanivāra (Saturday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-1.849,"elongation":122.499},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-1.849,"opposition_distance":57.501}},"eclipse_window_40days":[]},"city":{"slug":"amarnath","name":"Amarnāth","lat":34.2167,"lon":75.5,"tz_offset_hours":5.5,"state":"J&K","country":"IN","tier":"tirtha","elevation_m":3888},"tier2":{"city":{"slug":"amarnath","name":"Amarnāth","lat":34.2167,"lon":75.5,"tz_offset_hours":5.5,"state":"J&K","country":"IN","tier":"tirtha","elevation_m":3888},"sunriseLocal":"05:51","sunsetLocal":"19:12","solarNoonLocal":"12:32","dayLengthHours":13.338409276280476,"dayLengthDisplay":"13 Hours 20 Mins 18 Secs","nightLengthDisplay":"10 Hours 39 Mins 42 Secs","moonriseLocal":"15:34","moonsetLocal":"01:24","rahuKala":{"name":"Rāhu Kāla","start":"09:11","end":"10:51","startHours":9.190865309611722,"endHours":10.85816646914678,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"14:12","end":"15:52","startHours":14.192768788216899,"endHours":15.86006994775196,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"05:51","end":"07:31","startHours":5.856262990541603,"endHours":7.523564150076663,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:58","end":"09:25","startHours":8.968558488340381,"endHours":9.413172130883062,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:25","end":"06:46","startHours":6.412030043719955,"endHours":6.7677209577541015,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"12:05","end":"12:58","startHours":12.080853986139157,"endHours":12.970081271224522,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"04:05","end":"04:58","startHours":4.077808420370872,"endHours":4.9670357054562375,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"04:45","end":"05:51","startHours":4.744728884184896,"endHours":5.856262990541603,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:45","end":"15:38","startHours":14.748535841395253,"endHours":15.637763126480618,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"19:00","end":"19:24","startHours":18.99467226682208,"endHours":19.394672266822077,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"19:12","end":"19:45","startHours":19.194672266822078,"endHours":19.75043932000043,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"18:57","end":"20:42","startHours":18.944672266822078,"endHours":20.694672266822078,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"00:05","end":"00:58","startHours":24.080853986139154,"endHours":24.970081271224522,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Kāla","start":"05:51","end":"07:31","startHours":5.856262990541603,"endHours":7.523564150076663,"quality":"inauspicious"},{"name":"Śubha","start":"07:31","end":"09:11","startHours":7.523564150076663,"endHours":9.190865309611722,"quality":"auspicious"},{"name":"Roga","start":"09:11","end":"10:51","startHours":9.190865309611722,"endHours":10.85816646914678,"quality":"inauspicious"},{"name":"Udveg","start":"10:51","end":"12:32","startHours":10.85816646914678,"endHours":12.525467628681842,"quality":"inauspicious"},{"name":"Chala","start":"12:32","end":"14:12","startHours":12.525467628681842,"endHours":14.192768788216899,"quality":"neutral"},{"name":"Labha","start":"14:12","end":"15:52","startHours":14.192768788216899,"endHours":15.86006994775196,"quality":"auspicious"},{"name":"Amṛta","start":"15:52","end":"17:32","startHours":15.86006994775196,"endHours":17.52737110728702,"quality":"auspicious"},{"name":"Kāla","start":"17:32","end":"19:12","startHours":17.52737110728702,"endHours":19.194672266822078,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Labha","start":"19:12","end":"20:32","startHours":19.194672266822078,"endHours":20.527371107287017,"quality":"auspicious"},{"name":"Amṛta","start":"20:32","end":"21:52","startHours":20.527371107287017,"endHours":21.86006994775196,"quality":"auspicious"},{"name":"Kāla","start":"21:52","end":"23:12","startHours":21.86006994775196,"endHours":23.1927687882169,"quality":"inauspicious"},{"name":"Śubha","start":"23:12","end":"00:32","startHours":23.1927687882169,"endHours":24.525467628681838,"quality":"auspicious"},{"name":"Roga","start":"00:32","end":"01:51","startHours":24.525467628681838,"endHours":25.85816646914678,"quality":"inauspicious"},{"name":"Udveg","start":"01:51","end":"03:11","startHours":25.85816646914678,"endHours":27.19086530961172,"quality":"inauspicious"},{"name":"Chala","start":"03:11","end":"04:31","startHours":27.19086530961172,"endHours":28.52356415007666,"quality":"neutral"},{"name":"Labha","start":"04:31","end":"05:51","startHours":28.52356415007666,"endHours":29.8562629905416,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"05:51","end":"06:51","startHours":5.856262990541603,"endHours":6.856262990541603,"planetary_lord":"Saturn"},{"name":"Hora 2","start":"06:51","end":"07:51","startHours":6.856262990541603,"endHours":7.856262990541603,"planetary_lord":"Moon"},{"name":"Hora 3","start":"07:51","end":"08:51","startHours":7.856262990541603,"endHours":8.856262990541602,"planetary_lord":"Mercury"},{"name":"Hora 4","start":"08:51","end":"09:51","startHours":8.856262990541602,"endHours":9.856262990541602,"planetary_lord":"Venus"},{"name":"Hora 5","start":"09:51","end":"10:51","startHours":9.856262990541602,"endHours":10.856262990541602,"planetary_lord":"Sun"},{"name":"Hora 6","start":"10:51","end":"11:51","startHours":10.856262990541602,"endHours":11.856262990541602,"planetary_lord":"Mars"},{"name":"Hora 7","start":"11:51","end":"12:51","startHours":11.856262990541602,"endHours":12.856262990541602,"planetary_lord":"Jupiter"},{"name":"Hora 8","start":"12:51","end":"13:51","startHours":12.856262990541602,"endHours":13.856262990541602,"planetary_lord":"Saturn"},{"name":"Hora 9","start":"13:51","end":"14:51","startHours":13.856262990541602,"endHours":14.856262990541602,"planetary_lord":"Moon"},{"name":"Hora 10","start":"14:51","end":"15:51","startHours":14.856262990541602,"endHours":15.856262990541602,"planetary_lord":"Mercury"},{"name":"Hora 11","start":"15:51","end":"16:51","startHours":15.856262990541602,"endHours":16.8562629905416,"planetary_lord":"Venus"},{"name":"Hora 12","start":"16:51","end":"17:51","startHours":16.8562629905416,"endHours":17.8562629905416,"planetary_lord":"Sun"},{"name":"Hora 13","start":"17:51","end":"18:51","startHours":17.8562629905416,"endHours":18.8562629905416,"planetary_lord":"Mars"},{"name":"Hora 14","start":"18:51","end":"19:51","startHours":18.8562629905416,"endHours":19.8562629905416,"planetary_lord":"Jupiter"},{"name":"Hora 15","start":"19:51","end":"20:51","startHours":19.8562629905416,"endHours":20.8562629905416,"planetary_lord":"Saturn"},{"name":"Hora 16","start":"20:51","end":"21:51","startHours":20.8562629905416,"endHours":21.8562629905416,"planetary_lord":"Moon"},{"name":"Hora 17","start":"21:51","end":"22:51","startHours":21.8562629905416,"endHours":22.8562629905416,"planetary_lord":"Mercury"},{"name":"Hora 18","start":"22:51","end":"23:51","startHours":22.8562629905416,"endHours":23.8562629905416,"planetary_lord":"Venus"},{"name":"Hora 19","start":"23:51","end":"00:51","startHours":23.8562629905416,"endHours":24.8562629905416,"planetary_lord":"Sun"},{"name":"Hora 20","start":"00:51","end":"01:51","startHours":24.8562629905416,"endHours":25.8562629905416,"planetary_lord":"Mars"},{"name":"Hora 21","start":"01:51","end":"02:51","startHours":25.8562629905416,"endHours":26.8562629905416,"planetary_lord":"Jupiter"},{"name":"Hora 22","start":"02:51","end":"03:51","startHours":26.8562629905416,"endHours":27.8562629905416,"planetary_lord":"Saturn"},{"name":"Hora 23","start":"03:51","end":"04:51","startHours":27.8562629905416,"endHours":28.8562629905416,"planetary_lord":"Moon"},{"name":"Hora 24","start":"04:51","end":"05:51","startHours":28.8562629905416,"endHours":29.8562629905416,"planetary_lord":"Mercury"}],"taraBala":{"favorable_nakshatras":["Bharaṇī","Kṛttikā","Rohiṇī","Mṛgaśirā","Ārdrā","Pūrva Phalgunī","Uttara Phalgunī","Hasta","Citrā","Svātī","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Śravaṇa","Dhaniṣṭhā","Śatabhiṣaj"],"unfavorable_nakshatras":["Aśvinī","Punarvasu","Puṣya","Aśleṣā","Maghā","Viśākhā","Anurādhā","Jyeṣṭhā","Mūla","Pūrva Bhādrapadā","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":"East (Pūrva)","chandraVasa":"East","rahuVasa":"East","anandadiYoga":{"name":"Lumba","quality":"Auspicious"},"tropicalRitu":"Varṣā (Monsoon)","vedicRitu":"Varṣā (Monsoon)","tropicalAyana":"Dakṣiṇāyana","vedicAyana":"Dakṣiṇāyana","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":12.941349288145062,"eotMinutes":-3.5280577209103767,"ayanamsa":24.4206}},"calendars":{"vikram_samvat":2097,"vikram_samvatsara":"Śrīmukha","saka_samvat":1962,"saka_samvatsara":"Raudra","bengali_samvat":1447,"malayalam_era":1216,"nanakshahi_year":571,"lunar_month":"Śrāvaṇa","lunar_month_paksha_full":"Śrāvaṇa Śukla Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Śrāvaṇa","lunar_month_amanta":"Śrāvaṇa","lunar_month_is_adhika":false,"lunar_month_purnimanta_is_adhika":false,"lunar_month_amanta_is_adhika":false,"solar_month":"Siṃha (Āvaṇi)","ritu":"Varṣā (Monsoon)","display_summary":"Śrāvaṇa Śukla Ekādaśī · Vikram 2097 Śrīmukha · Śaka 1962 Raudra"},"festivals":[{"id":"pavitropana-ekadashi","name":"Pavitropanā Ekādaśī (Putradā)","name_sanskrit":"पवित्रोपना एकादशी","tradition":"Vaishnava","associated_deity":"Bhagavān Viṣṇu","significance":"Confers son; pavitra (sacred thread) ceremony for Viṣṇu.","vrata":true,"detection":{"tithi_number":11,"tithi_paksha":"Śukla","lunar_month":"Śrāvaṇa"},"precedence":4},{"id":"ekadashi","name":"Ekādaśī","name_sanskrit":"एकादशी","tradition":"Vaishnava","associated_deity":"Bhagavān Viṣṇu","significance":"Sacred to Bhagavān Viṣṇu; vrata for purification.","vrata":true,"detection":{"any_of":[{"tithi_number":11},{"tithi_number":26}]},"precedence":5}],"todays_walk":{"walk":{"id":"shani-walk","name":"Śani Walk","name_sanskrit":"शनि यात्रा","type":"graha","description":"Tapas + endurance + BG 17.14-19.","step_count":7,"url":"/walk/shani-walk"},"reason":"Dedicated festival walk for Pavitropanā Ekādaśī (Putradā) · Ekādaśī is not live yet; Śanivāra (Saturday) — its presiding graha's walk."},"cosmic_resonances":[]},"validity":{"eternal":false,"location_specific":"amarnath"},"liturgical":{"opening":"जय श्री कृष्ण","closing":"ॐ तत् सत्","attribution":"Computed by Vidhyamitra Sūrya-Siddhānta substrate + Vidhyamitra Tier-2 layer"},"seo":{"title":"Pañchāṅga August 18, 2040 CE · Amarnāth · Vidhyamitra","description":"August 18, 2040 CE for Amarnāth: Śukla Ekādaśī, sūryodaya 05:51, sūryāsta 19:12.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/amarnath/2040-08-18","hreflang_alternates":{"en":"https://vidhyamitra.com/city/amarnath/2040-08-18","sa":"https://sa.vidhyamitra.com/city/amarnath/2040-08-18","hi":"https://hi.vidhyamitra.com/city/amarnath/2040-08-18","x-default":"https://vidhyamitra.com/city/amarnath/2040-08-18"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-08-10T09:54:35.801Z","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":"2026-08-10T09:54:35.801Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-08-10T09:54:35.801Z","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"}}}